This document provides step-by-step instructions for solving long division problems. It explains that you take the divisor and repeatedly subtract it from the dividend, grouping the numbers in the quotient. For example, if dividing 36,987 by 5, you would find that 5 goes into 36 seven times, with a remainder carried to the next group. Carrying out this process reveals the full quotient is 7,397 with a remainder of 2. The document also includes examples of setting up word problems as division calculations.

2. What is this problem asking us?
If we divided 36,987 into 5
groups of equal size, how many
would be in each group?

3. 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?

4. 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

5. 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

6.  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

7.  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

8.  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

9. 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

10. 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?

11. What is this problem asking us?
If we divided 8,437 into 6
groups of equal size, how many
would be in each group?

12. Real Life Example
Can you think of a word problem that
can be expressed as the division
problem written above?

13. 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

14.  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

15.  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

16.  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

17.  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

18. -42
3
-21
2,5387
 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

19. 4
-14
81
3
-42
-21
2,5387
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

20. -56
9
-32
3,7928
 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

21. 0
-32
23
9
-56
-32
3,7928
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

22. -24
6
-15
1,7633
 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

23. 2
-21
32
6
-24
-15
1,7633
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

24. -63
7
-18
2,4739
 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

25. 7
-36
34
7
-63
-18
2,4739
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

26. - 8
9
-14
1,4992
 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

27. 1
-18
91
9
- 8
-14
1,4992
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

28. - 6
80
-6
6,8433
 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

29. 2
- 3
30
- 6
80
-6
6,8433
 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

30. 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