Long division intro

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 divisorLook at the first number and ask how many 5’s are in 3There 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 barSubtract 35 from 36Bring 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 barSubtract 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 barSubtract 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 barSubtract 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 divisorLook at the first number and ask how many 6’s are in 8There 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 barSubtract 6 from 8Bring 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 barSubtract 24 from 24Bring 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 barSubtract 0 from 3Bring 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 barSubtract 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 25Think of a your seven facts7x3=21Place the 3 above the barSubtract 21 from 25Bring down the next digit in the dividend ~ THREE43 ÷ 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 barSubtract 42 from 43Bring down the next number in the dividend ~ EIGHTHow many 7’s are in 187 x 2 = 14 Place the 2 above the barSubtract 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 37Think of a your eight facts8 x 4 = 32Place the 4 above the barSubtract 32 from 37Bring down the next digit in the dividend ~ NINE59÷ 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 barSubtract 56 from 59Bring down the next number in the dividend ~ TWOHow many 8’s are in 328 X 4 = 32 Place the 4 above the barSubtract 32 from 32

Our quotient is 474

4

5

7 4

-246

-151,7633

17 ÷ 3 or how many groups of 3 are in 17Think of a your three facts3 x 5 = 15Place the 5 above the barSubtract 15 from 17Bring down the next digit in the dividend ~ SIX26 ÷ 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 barSubtract 24 from 26Bring down the next number in the dividend ~ THREEHow many 3’s are in 233 x 7 = 21Place the 7 above the barSubtract 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 24Think of a your nine facts9 x 2 = 18Place the 2 above the barSubtract 18 from 24Bring down the next digit in the dividend ~ SEVEN67 ÷ 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 barSubtract 63 from 67Bring down the next number in the dividend ~ THREEHow many 9’s are in 439 x 4 = 36 Place the 4 above the barSubtract 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 14Think of your doubles2 x 7 = 14Place the 7 above the barSubtract 14 from 14Bring down the next digit in the dividend ~ NINE9 ÷ 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 barSubtract 8 from 9Bring down the next number in the dividend ~ NINEHow many 2s are in 192 x 9 = 18 Place the 9 above the barSubtract 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 6Recall your multiplication facts 3 x 2 = 6Place the 2 above the barSubtract 6 from 6Bring down the next digit in the dividend ~ EIGHT8 ÷ 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 6Place the 2 above the barSubtract 6 from 8Bring down the next digit in the dividend ~ FOUR

How many 3’s are in 24Place 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