IXL | Divide using partial quotients | 5th grade math

or

Find

154

÷

7

using partial quotients. Fill in the missing numbers.

7

1

5

4

7

0

–

×

7

7

0

–

×

7

1

4

–

×

7

ref_doc_title.

or

Learn with an example

question

Find

112

÷

8

using partial quotients. Fill in the missing numbers.

8

1

1

2

8

0

–

×

8

3

2

–

×

8

solution

To find

112

÷

8

using partial quotients, subtract multiples of 8 from 112 until you reach 0. Then, see how many times 8 fits into 112.

Step 1: Subtract multiples of 8 until you reach 0.

An easy multiple of 8 is 80, which is equal to

10

×

8

.

Subtract 80 from 112.

8

1

1

2

8

0

–

1

0

×

8

3

2

Now subtract 32, which is also a multiple of 8. It is equal to

4

×

8

.

8

1

1

2

8

0

–

1

0

×

8

3

2

3

2

–

4

×

8

0

Step 2: See how many times 8 goes into 112.

112 can be broken up into 80 and 32. Add the number of times 8 goes into 80 and the number of times 8 goes into 32.

10	+	4	=	14

Number of times 8 goes into 80		Number of times 8 goes into 32		Number of times 8 goes into 112

So, the quotient of 112 and 8 is 14.

1

4

8

1

1

2

8

0

–

1

0

×

8

3

2

3

2

–

4

×

8

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.9Divide 2-digit numbers by 1-digit numbers

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

K.7Divide using the distributive property

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

Lesson: Partial quotients