IXL | Divide 3-digit by 2-digit numbers using partial quotients

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or

Learn with an example

question

Use the partial quotients method to find

687

÷

26

.

Fill in the missing numbers.

R

2

6

8

7

2

6

0

–

×

2

6

2

6

0

–

×

2

6

1

5

6

–

×

2

6

solution

Find

687

÷

26

using the partial quotients method. Subtract multiples of 26 from the dividend until the remaining number is less than 26.

The first multiple is 260, which is equal to

10

×

26

.

Subtract 260 from 687.

2

6

8

7

2

6

0

–

1

0

×

2

6

4

2

7

The next multiple is also 260. Subtract 260 from 427.

2

6

8

7

2

6

0

–

1

0

×

2

6

4

2

7

2

6

0

–

1

0

×

2

6

1

6

7

The last multiple is 156, which is equal to

6

×

26

.

Subtract 156 from 167.

2

6

8

7

2

6

0

–

1

0

×

2

6

4

2

7

2

6

0

–

1

0

×

2

6

1

6

7

1

5

6

–

6

×

2

6

1

26 goes into 687 a total of

10

+

10

+

6

=

26

times. The quotient is 26.

2

6

2

6

8

7

2

6

0

–

1

0

×

2

6

4

2

7

2

6

0

–

1

0

×

2

6

1

6

7

1

5

6

–

6

×

2

6

1

The remainder is the last difference, 11.

2

6

R

1

2

6

8

7

2

6

0

–

1

0

×

2

6

4

2

7

2

6

0

–

1

0

×

2

6

1

6

7

1

5

6

–

6

×

2

6

1

Looking for more? Try these:

Lesson: Partial quotients

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