IXL | Divide using partial quotients | 4th grade math

or

Find

714

÷

7

using partial quotients. Fill in the missing numbers.

7

7

1

4

7

0

0

–

×

7

1

4

–

×

7

ref_doc_title.

or

Learn with an example

question

Find

130

÷

5

using partial quotients. Fill in the missing numbers.

5

1

3

0

5

0

–

×

5

5

0

–

×

5

3

0

–

×

5

solution

To find

130

÷

5

using partial quotients, subtract multiples of 5 from 130 until you reach 0. Then, see how many times 5 goes into 130.

Step 1: Subtract multiples of 5 until you reach 0.

An easy multiple of 5 is 50, which is equal to

10

×

5

.

Subtract 50 from 130.

5

1

3

0

5

0

–

1

0

×

5

8

0

You can subtract 50 again. So, subtract 50 from 80.

5

1

3

0

5

0

–

1

0

×

5

8

0

5

0

–

1

0

×

5

3

0

Now subtract 30, which is also a multiple of 5. It is equal to

6

×

5

.

5

1

3

0

5

0

–

1

0

×

5

8

0

5

0

–

1

0

×

5

3

0

3

0

–

6

×

5

0

Step 2: See how many times 5 goes into 130.

130 can be broken up into 50, 50, and 30. Add the number of times 5 goes into each of those parts.

10	+	10	+	6	=	26

Number of times 5 goes into 50		Number of times 5 goes into 50		Number of times 5 goes into 30		Number of times 5 goes into 130

So, the quotient of 130 and 5 is 26.

2

6

5

1

3

0

5

0

–

1

0

×

5

8

0

5

0

–

1

0

×

5

3

0

3

0

–

6

×

5

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.7Divide using the distributive property

K.11Divide 3-digit numbers by 1-digit numbers using area models

F.2Multiplication facts to 10: find the missing factor

H.6Subtract numbers up to three digits

Lesson: Partial quotients