IXL | Divide 3-digit by 2-digit numbers using partial quotients | 5th grade math

or

Use the partial quotients method to find

192

÷

12

.

Fill in the missing numbers.

R

1

2

1

9

2

1

2

0

–

×

1

2

7

2

–

×

1

2

ref_doc_title.

or

Learn with an example

question

Use the partial quotients method to find

966

÷

46

.

Fill in the missing numbers.

R

4

6

9

6

6

4

6

0

–

×

4

6

4

6

0

–

×

4

6

4

6

–

×

4

6

solution

Find

966

÷

46

using the partial quotients method. Subtract multiples of 46 from the dividend until the remaining number is less than 46.

The first multiple is 460, which is equal to

10

×

46

.

Subtract 460 from 966.

4

6

9

6

6

4

6

0

–

1

0

×

4

6

5

0

6

The next multiple is also 460. Subtract 460 from 506.

4

6

9

6

6

4

6

0

–

1

0

×

4

6

5

0

6

4

6

0

–

1

0

×

4

6

4

6

The last multiple is 46, which is equal to

1

×

46

.

Subtract 46 from 46.

4

6

9

6

6

4

6

0

–

1

0

×

4

6

5

0

6

4

6

0

–

1

0

×

4

6

4

6

4

6

–

1

×

4

6

0

46 goes into 966 a total of

10

+

10

+

1

=

21

times. The quotient is 21.

2

1

4

6

9

6

6

4

6

0

–

1

0

×

4

6

5

0

6

4

6

0

–

1

0

×

4

6

4

6

4

6

–

1

×

4

6

0

The remainder is the last difference, 0.

2

1

R

0

4

6

9

6

6

4

6

0

–

1

0

×

4

6

5

0

6

4

6

0

–

1

0

×

4

6

4

6

4

6

–

1

×

4

6

0

Looking for more? Try these:

Lesson: Partial quotients

or

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Teacher tools

Work it out

Not feeling ready yet? These can help:

K.12Divide using partial quotients

E.6Divide multi-digit numbers by 1-digit numbers

F.4Divisibility rules

Lesson: Partial quotients