What is this problem asking us?

If we divided 36,987 into 5 groups of equal size, how

many would be in each group?

Real Life Example

If Janice has 5 years to repay a small business loan for $36,987, how much will she need to pay

each year?

How do we solve it?

5 is our divisor

Look at the first number and ask how many 5’s are in 3

There are none, so we ask how many 5’s are in 36

divisor

How many 5’s are in 36?

Recall your multiplication facts to find the one that will give an answer near 36.

5 x 7 = 35

5 x 7 = 35

Place the 7 above the division bar

Subtract 35 from 36

Bring down the next digit in the dividend Now ask how

many 5’s are in 19

5 x 3 = 15

Place the 3 above the division bar

Subtract 15 from 19

Bring down the next digit in the dividend

Now we ask how many 5’s are in 48

5 x 9 = 45

Place the 9 above the division bar

Subtract 45 from 48

Bring down the next digit in the dividend

Now we ask how many 5’s are in 37

5 x 7 = 35

Place the 7 above the division bar

Subtract 35 from 37

There are no more numbers to bring down

The remainder is 2, which means 2 are left over

The quotient or answer to our problem is 7,397 with a remainder of 2

Our Real Life Example

If Janice has 5 years to repay a small business loan for $36,987, how much will she need to pay each

year?

What is this problem asking us?

If we divided 8,437 into 6 groups of equal size, how

many would be in each group?

Real Life Example

Can you think of a word problem that can be expressed as the

division problem written above?

How do we solve it?

6 is our divisor

Look at the first number and ask how many 6’s are in 8

There is one, so we multiply and begin to work through the steps to solve the problem.

divisor

6 x 1 = 6

Place the 1 above the division bar

Subtract 6 from 8

Bring down the next digit in the dividend

Now ask how many 6’s are in 24

6 x 4 = 24

Place the 4 above the division bar

Subtract 24 from 24

Bring down the next digit in the dividend

Now ask how many 6’s are in 3

6 x 0 = 0

Place the 0 above the division bar

Subtract 0 from 3

Bring down the next digit in the dividend

Now ask how many 6’s are in 37

6 x 6 = 36

Place the 6 above the division bar

Subtract 36 from 37

There are no more numbers to bring down

The remainder is 1, which means there is one left over

The quotient or answer to our problem is 1,406 with a remainder of 2

-423

-212,5387

25 ÷ 7 or how many groups of 7 are in 25

Think of a your seven facts

7x3=21

Place the 3 above the bar

Subtract 21 from 25

Bring down the next digit in the dividend ~ THREE

43 ÷ 7 or how many 7’s are in 43

3

7 x 6 = 42

4

6

4

-1481

3-42

-212,5387

7 x 6 = 42 ~ Place the 6 above the division bar

Subtract 42 from 43

Bring down the next number in the dividend ~ EIGHT

How many 7’s are in 18

7 x 2 = 14

Place the 2 above the bar

Subtract 14 from 18

Our quotient is 362 with a

remainder of 4

3

4

6 2

-569

-323,7928

37 ÷ 8 or how many groups of 8 are in 37

Think of a your eight facts

8 x 4 = 32

Place the 4 above the bar

Subtract 32 from 37

Bring down the next digit in the dividend ~ NINE

59÷ 8 or how many 8’s are in 59

4

8 x 7 = 56

5

7

0

-3223

9-56

-323,7928

8 x 7 = 56 ~ Place the 7 above the division bar

Subtract 56 from 59

Bring down the next number in the dividend ~ TWO

How many 8’s are in 32

8 X 4 = 32

Place the 4 above the bar

Subtract 32 from 32

Our quotient is 474

4

5

7 4

-246

-151,7633

17 ÷ 3 or how many groups of 3 are in 17

Think of a your three facts

3 x 5 = 15

Place the 5 above the bar

Subtract 15 from 17

Bring down the next digit in the dividend ~ SIX

26 ÷ 3 or how many 3’s are in 26

5

8 X 3 = 24

2

8

2

-2132

6-24

-151,7633

3 x 8 = 24 ~ Place the 8 above the division bar

Subtract 24 from 26

Bring down the next number in the dividend ~ THREE

How many 3’s are in 23

3 x 7 = 21

Place the 7 above the bar

Subtract 21 from 23

Our quotient is 587 with a

remainder of 2

5

2

8 7

-637

-182,4739

24 ÷ 9 or how many groups of 9 are in 24

Think of a your nine facts

9 x 2 = 18

Place the 2 above the bar

Subtract 18 from 24

Bring down the next digit in the dividend ~ SEVEN

67 ÷ 9 or how many 9’s are in 67

2

9 x 7 = 63

6

7

7

-3634

7-63

-182,4739

9 X 7 = 63 ~ Place the 7 above the division bar

Subtract 63 from 67

Bring down the next number in the dividend ~ THREE

How many 9’s are in 43

9 x 4 = 36

Place the 4 above the bar

Subtract 36 from 43

Our quotient is 274 with a

remainder of 7

2

6

7 4

- 89

-141,4992

14 ÷ 2 or how many groups of 2 are in 14

Think of your doubles

2 x 7 = 14

Place the 7 above the bar

Subtract 14 from 14

Bring down the next digit in the dividend ~ NINE

9 ÷ 2 or how many 2’s are in 9

7

2 x 4 = 8

0

4

1

-1891

9- 8

-141,4992

2 x 4 = 8 ~ Place the 4 above the division bar

Subtract 8 from 9

Bring down the next number in the dividend ~ NINE

How many 2s are in 19

2 x 9 = 18

Place the 9 above the bar

Subtract 18 from 19

Our quotient is 749 with a

remainder of 1

7

0

4 9

- 680

-66,8433

6 ÷ 3 or how many groups of 3 are in 6

Recall your multiplication facts 3 x 2 = 6

Place the 2 above the bar

Subtract 6 from 6

Bring down the next digit in the dividend ~ EIGHT

8 ÷ 3 or how many 3’s are in 8

2

3 x 2 = 6

2

2

- 330

- 680

-66,8433

3 x 2 = 6 or how many groups of 3 are in 6

Place the 2 above the bar

Subtract 6 from 8

Bring down the next digit in the dividend ~ FOUR

How many 3’s are in 24

Place the 8 above the bar

Subtract 24 from 24

Bring down the THREE

3 x 1 = 3 ~ Now subtract

Our quotient is 2,281

2 12 8

4-24

0

Try These On Your Own

• We will check them using webmath.com

8

4

7

6 8,146

9

3,927

3,506 4,468

8,338