IXL | Divide by 2-digit numbers using partial quotients

ref_doc_title.

or

Learn with an example

question

Use the partial quotients method to find

535

÷

19

.

Fill in the missing numbers.

R

1

9

5

3

5

1

9

0

–

×

1

9

1

9

0

–

×

1

9

1

5

2

–

×

1

9

solution

Find

535

÷

19

using the partial quotients method. Subtract multiples of 19 from the dividend until the remaining number is less than 19.

The first multiple is 190, which is equal to

10

×

19

.

Subtract 190 from 535.

1

9

5

3

5

1

9

0

–

1

0

×

1

9

3

4

5

The next multiple is also 190. Subtract 190 from 345.

1

9

5

3

5

1

9

0

–

1

0

×

1

9

3

4

5

1

9

0

–

1

0

×

1

9

1

5

The last multiple is 152, which is equal to

8

×

19

.

Subtract 152 from 155.

1

9

5

3

5

1

9

0

–

1

0

×

1

9

3

4

5

1

9

0

–

1

0

×

1

9

1

5

1

5

2

–

8

×

1

9

3

19 goes into 535 a total of

10

+

10

+

8

=

28

times. The quotient is 28.

2

8

1

9

5

3

5

1

9

0

–

1

0

×

1

9

3

4

5

1

9

0

–

1

0

×

1

9

1

5

1

5

2

–

8

×

1

9

3

The remainder is the last difference, 3.

2

8

R

3

1

9

5

3

5

1

9

0

–

1

0

×

1

9

3

4

5

1

9

0

–

1

0

×

1

9

1

5

1

5

2

–

8

×

1

9

3

Looking for more? Try these:

Lesson: Partial quotients

or

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