Fluently Divide Multi-Digit Whole Numbers: CCSS.Math.Content.5.NBT.B.6 - Common Core: 5th Grade Math

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Question

$3828\div 22=$

Answer

No explanation available

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Question

Solve:

$13{\overline{\smash{)}143}}$

Answer

Before we begin, let's review the pieces of a division problem:

${\begin{array}[b]{r} \ \textup{ quotient}\ \textup{ divisor}{\overline{\smash{)}\ \textup{dividend}}}\\end{array}}{ \ \ \ \space}$

The quotient is the answer to the division problem. The dividend is the number that gets divided by the divisor.

One way to solve a division problem is to create an area model. The divisor equals the number of squares that make up the base of the area model. The dividend equals the number of total squares used. Fill the squares up from the base until you've used the correct number of squares. The height of the area model will be the quotient:

Another way to solve a division problem is to think of it as a multiplication problem. What number times the divisor equals the dividend?

$13\times$ __________

$\frac{\begin{array}[b]{r}13\ \times \ \ \ 11\end{array}}{\frac{\begin{array}[b]{r}{\color{black} 13}\ \ +\ {\color{black} 130} \end{array}}{\ }} \ {\ \ \ \ \ \ \ \ \ \ \ 143}$

This means that $13\times {\color{Red} 11}=143$ ; thus, ${\begin{array}[b]{r} \ \textup{ {\color{Red} 11}}\ \textup{ 13}{\overline{\smash{)}\ \textup{143}}}\\end{array}}{ \ \ \ \space}$

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Question

Solve:

$21{\overline{\smash{)}357}}$

Answer

Before we begin, let's review the pieces of a division problem:

${\begin{array}[b]{r} \ \textup{ quotient}\ \textup{ divisor}{\overline{\smash{)}\ \textup{dividend}}}\\end{array}}{ \ \ \ \space}$

The quotient is the answer to the division problem. The dividend is the number that gets divided by the divisor.

One way to solve a division problem is to create an area model. The divisor equals the number of squares that make up the base of the area model. The dividend equals the number of total squares used. Fill the squares up from the base until you've used the correct number of squares. The height of the area model will be the quotient:

Another way to solve a division problem is to think of it as a multiplication problem. What number times the divisor equals the dividend?

$21\times$ __________

$\frac{\begin{array}[b]{r}21\ \times \ \ \ 17\end{array}}{\frac{\begin{array}[b]{r}{\color{black} 147}\ \ +\ {\color{black} 210} \end{array}}{\ }} \ {\ \ \ \ \ \ \ \ \ \ \ 357}$

This means that $21\times {\color{Red} 17}=357$ ; thus, ${\begin{array}[b]{r} \ \textup{ {\color{Red} 17}}\ \textup{ 21}{\overline{\smash{)}\ \textup{357}}}\\end{array}}{ \ \ \ \space}$

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Question

Solve:

$12{\overline{\smash{)}432}}$

Answer

Before we begin, let's review the pieces of a division problem:

${\begin{array}[b]{r} \ \textup{ quotient}\ \textup{ divisor}{\overline{\smash{)}\ \textup{dividend}}}\\end{array}}{ \ \ \ \space}$

The quotient is the answer to the division problem. The dividend is the number that gets divided by the divisor.

One way to solve a division problem is to create an area model. The divisor equals the number of squares that make up the base of the area model. The dividend equals the number of total squares used. Fill the squares up from the base until you've used the correct number of squares. The height of the area model will be the quotient:

Another way to solve a division problem is to think of it as a multiplication problem. What number times the divisor equals the dividend?

$12\times$ __________

$\frac{\begin{array}[b]{r}36\ \times \ \ \ 12\end{array}}{\frac{\begin{array}[b]{r}{\color{black} 72}\ \ +\ {\color{black} 360} \end{array}}{\ }} \ {\ \ \ \ \ \ \ \ \ \ \ 432}$

This means that $12\times {\color{Red} 36}=432$ ; thus, ${\begin{array}[b]{r} \ \textup{ {\color{Red} 36}}\ \textup{ 12}{\overline{\smash{)}\ \textup{432}}}\\end{array}}{ \ \ \ \space}$

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Question

Solve:

$33{\overline{\smash{)}759}}$

Answer

Before we begin, let's review the pieces of a division problem:

${\begin{array}[b]{r} \ \textup{ quotient}\ \textup{ divisor}{\overline{\smash{)}\ \textup{dividend}}}\\end{array}}{ \ \ \ \space}$

The quotient is the answer to the division problem. The dividend is the number that gets divided by the divisor.

One way to solve a division problem is to create an area model. The divisor equals the number of squares that make up the base of the area model. The dividend equals the number of total squares used. Fill the squares up from the base until you've used the correct number of squares. The height of the area model will be the quotient:

Another way to solve a division problem is to think of it as a multiplication problem. What number times the divisor equals the dividend?

$33\times$ __________

$\frac{\begin{array}[b]{r}33\ \times \ \ \ 23\end{array}}{\frac{\begin{array}[b]{r}{\color{black} 99}\ \ +\ {\color{black} 660} \end{array}}{\ }} \ {\ \ \ \ \ \ \ \ \ \ \ 759}$

This means that $33\times {\color{Red} 23}=759$ ; thus, ${\begin{array}[b]{r} \ \textup{ {\color{Red} 23}}\ \textup{ 33}{\overline{\smash{)}\ \textup{759}}}\\end{array}}{ \ \ \ \space}$

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Question

Solve:

$14{\overline{\smash{)}308}}$

Answer

Before we begin, let's review the pieces of a division problem:

${\begin{array}[b]{r} \ \textup{ quotient}\ \textup{ divisor}{\overline{\smash{)}\ \textup{dividend}}}\\end{array}}{ \ \ \ \space}$

The quotient is the answer to the division problem. The dividend is the number that gets divided by the divisor.

One way to solve a division problem is to create an area model. The divisor equals the number of squares that make up the base of the area model. The dividend equals the number of total squares used. Fill the squares up from the base until you've used the correct number of squares. The height of the area model will be the quotient:

Another way to solve a division problem is to think of it as a multiplication problem. What number times the divisor equals the dividend?

$14\times$ __________

$\frac{\begin{array}[b]{r}14\ \times \ \ \ 22\end{array}}{\frac{\begin{array}[b]{r}{\color{black} 28}\ \ +\ {\color{black} 280} \end{array}}{\ }} \ {\ \ \ \ \ \ \ \ \ \ \ 308}$

This means that $13\times {\color{Red} 22}=308$ ; thus, ${\begin{array}[b]{r} \ \textup{ {\color{Red} 22}}\ \textup{ 14}{\overline{\smash{)}\ \textup{308}}}\\end{array}}{ \ \ \ \space}$

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Question

Solve:

$43{\overline{\smash{)}1\textup,505}}$

Answer

Before we begin, let's review the pieces of a division problem:

${\begin{array}[b]{r} \ \textup{ quotient}\ \textup{ divisor}{\overline{\smash{)}\ \textup{dividend}}}\\end{array}}{ \ \ \ \space}$

The quotient is the answer to the division problem. The dividend is the number that gets divided by the divisor.

One way to solve a division problem is to create an area model. The divisor equals the number of squares that make up the base of the area model. The dividend equals the number of total squares used. Fill the squares up from the base until you've used the correct number of squares. The height of the area model will be the quotient:

Another way to solve a division problem is to think of it as a multiplication problem. What number times the divisor equals the dividend?

$43\times$ __________

$\frac{\begin{array}[b]{r}43\ \times \ \ \ 35\end{array}}{\frac{\begin{array}[b]{r}{\color{black} 215}\ \ +\ {\color{black} 1290} \end{array}}{\ }} \ {\ \ \ \ \ \ \ \ \ \ \ 1505}$

This means that $43\times {\color{Red} 35}=1\textup,505$ ; thus, ${\begin{array}[b]{r} \ \textup{ {\color{Red} 35}}\ \textup{ 43}{\overline{\smash{)}\ \textup{1\textup,505}}}\\end{array}}{ \ \ \ \space}$

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Question

Solve:

$40{\overline{\smash{)}400}}$

Answer

Before we begin, let's review the pieces of a division problem:

${\begin{array}[b]{r} \ \textup{ quotient}\ \textup{ divisor}{\overline{\smash{)}\ \textup{dividend}}}\\end{array}}{ \ \ \ \space}$

The quotient is the answer to the division problem. The dividend is the number that gets divided by the divisor.

One way to solve a division problem is to create an area model. The divisor equals the number of squares that make up the base of the area model. The dividend equals the number of total squares used. Fill the squares up from the base until you've used the correct number of squares. The height of the area model will be the quotient:

Another way to solve a division problem is to think of it as a multiplication problem. What number times the divisor equals the dividend?

$40\times$ __________

$\frac{\begin{array}[b]{r}40\ \times \ \ \ 10\end{array}}{\frac{\begin{array}[b]{r}{\color{black} 00}\ \ +\ {\color{black} 400} \end{array}}{\ }} \ {\ \ \ \ \ \ \ \ \ \ \ 400}$

This means that $40\times {\color{Red} 10}=400$ ; thus, ${\begin{array}[b]{r} \ \textup{ {\color{Red} 10}}\ \textup{ 40}{\overline{\smash{)}\ \textup{400}}}\\end{array}}{ \ \ \ \space}$

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Question

Solve:

$52{\overline{\smash{)}2\textup,236}}$

Answer

Before we begin, let's review the pieces of a division problem:

${\begin{array}[b]{r} \ \textup{ quotient}\ \textup{ divisor}{\overline{\smash{)}\ \textup{dividend}}}\\end{array}}{ \ \ \ \space}$

The quotient is the answer to the division problem. The dividend is the number that gets divided by the divisor.

One way to solve a division problem is to create an area model. The divisor equals the number of squares that make up the base of the area model. The dividend equals the number of total squares used. Fill the squares up from the base until you've used the correct number of squares. The height of the area model will be the quotient:

Another way to solve a division problem is to think of it as a multiplication problem. What number times the divisor equals the dividend?

$52\times$ __________ $=2\textup,236$

$\frac{\begin{array}[b]{r}52\ \times \ \ \ 43\end{array}}{\frac{\begin{array}[b]{r}{\color{black} 156}\ \ +\ {\color{black} 2080} \end{array}}{\ }} \ {\ \ \ \ \ \ \ \ \ \ \ 2236}$

This means that $52\times {\color{Red} 43}=2\textup,236$ ; thus, ${\begin{array}[b]{r} \ \textup{ {\color{Red} 43}}\ \textup{ 52}{\overline{\smash{)}\ \textup{2\textup,236}}}\\end{array}}{ \ \ \ \space}$

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Question

Solve:

$56{\overline{\smash{)}952}}$

Answer

Before we begin, let's review the pieces of a division problem:

${\begin{array}[b]{r} \ \textup{ quotient}\ \textup{ divisor}{\overline{\smash{)}\ \textup{dividend}}}\\end{array}}{ \ \ \ \space}$

The quotient is the answer to the division problem. The dividend is the number that gets divided by the divisor.

One way to solve a division problem is to create an area model. The divisor equals the number of squares that make up the base of the area model. The dividend equals the number of total squares used. Fill the squares up from the base until you've used the correct number of squares. The height of the area model will be the quotient:

Another way to solve a division problem is to think of it as a multiplication problem. What number times the divisor equals the dividend?

$56\times$ __________

$\frac{\begin{array}[b]{r}56\ \times \ \ \ 17\end{array}}{\frac{\begin{array}[b]{r}{\color{black} 392}\ \ +\ {\color{black} 560} \end{array}}{\ }} \ {\ \ \ \ \ \ \ \ \ \ \ 952}$

This means that $56\times {\color{Red} 17}=952$ ; thus, ${\begin{array}[b]{r} \ \textup{ {\color{Red} 17}}\ \textup{ 56}{\overline{\smash{)}\ \textup{952}}}\\end{array}}{ \ \ \ \space}$

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Question

Solve:

$47{\overline{\smash{)}564}}$

Answer

Before we begin, let's review the pieces of a division problem:

${\begin{array}[b]{r} \ \textup{ quotient}\ \textup{ divisor}{\overline{\smash{)}\ \textup{dividend}}}\\end{array}}{ \ \ \ \space}$

The quotient is the answer to the division problem. The dividend is the number that gets divided by the divisor.

One way to solve a division problem is to create an area model. The divisor equals the number of squares that make up the base of the area model. The dividend equals the number of total squares used. Fill the squares up from the base until you've used the correct number of squares. The height of the area model will be the quotient:

Another way to solve a division problem is to think of it as a multiplication problem. What number times the divisor equals the dividend?

$47\times$ __________

$\frac{\begin{array}[b]{r}47\ \times \ \ \ 12\end{array}}{\frac{\begin{array}[b]{r}{\color{black} 94}\ \ +\ {\color{black} 470} \end{array}}{\ }} \ {\ \ \ \ \ \ \ \ \ \ \ 564}$

This means that $47\times {\color{Red} 12}=564$ ; thus, ${\begin{array}[b]{r} \ \textup{ {\color{Red} 12}}\ \textup{ 47}{\overline{\smash{)}\ \textup{564}}}\\end{array}}{ \ \ \ \space}$

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Question

Solve:

$15{\overline{\smash{)}165}}$

Answer

Before we begin, let's review the pieces of a division problem:

${\begin{array}[b]{r} \ \textup{ quotient}\ \textup{ divisor}{\overline{\smash{)}\ \textup{dividend}}}\\end{array}}{ \ \ \ \space}$

The quotient is the answer to the division problem. The dividend is the number that gets divided by the divisor.

One way to solve a division problem is to create an area model. The divisor equals the number of squares that make up the base of the area model. The dividend equals the number of total squares used. Fill the squares up from the base until you've used the correct number of squares. The height of the area model will be the quotient:

Another way to solve a division problem is to think of it as a multiplication problem. What number times the divisor equals the dividend?

$15\times$ __________

$\frac{\begin{array}[b]{r}15\ \times \ \ \ 11\end{array}}{\frac{\begin{array}[b]{r}{\color{black} 15}\ \ +\ {\color{black} 150} \end{array}}{\ }} \ {\ \ \ \ \ \ \ \ \ \ \ 165}$

This means that $15\times {\color{Red} 11}=165$ ; thus, ${\begin{array}[b]{r} \ \textup{ {\color{Red} 11}}\ \textup{ 15}{\overline{\smash{)}\ \textup{165}}}\\end{array}}{ \ \ \ \space}$

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Question

Solve:

$30{\overline{\smash{)}600}}$

Answer

Before we begin, let's review the pieces of a division problem:

${\begin{array}[b]{r} \ \textup{ quotient}\ \textup{ divisor}{\overline{\smash{)}\ \textup{dividend}}}\\end{array}}{ \ \ \ \space}$

The quotient is the answer to the division problem. The dividend is the number that gets divided by the divisor.

One way to solve a division problem is to create an area model. The divisor equals the number of squares that make up the base of the area model. The dividend equals the number of total squares used. Fill the squares up from the base until you've used the correct number of squares. The height of the area model will be the quotient:

$30\times$ __________

Another way to solve a division problem is to think of it as a multiplication problem. What number times the divisor equals the dividend?

$\frac{\begin{array}[b]{r}30\ \times \ \ \ 20\end{array}}{\frac{\begin{array}[b]{r}{\color{Red} 00}\ \ +\ {\color{Red} 600} \end{array}}{\ }} \ {\ \ \ \ \ \ \ \ \ \ \ 600}$

This means that $13\times {\color{Red} 20}=600$ ; thus, ${\begin{array}[b]{r} \ \textup{ {\color{Red} 20}}\ \textup{ 30}{\overline{\smash{)}\ \textup{600}}}\\end{array}}{ \ \ \ \space}$

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