1. Dividing Whole Numbers & Decimals

2. Long division is as simple as memorizing the people in this family.
Dad
Mom
Sister
Brother
Rover

3. Each person represents a step in the long division process.
3. Subtract
Sister
1. Divide
4. Bring down
Dad
Brother
2. Multiply
5. Repeat or
Remainder
Mom
Rover

4. 2 ) 9 4 7 4 Step 1 in Long Division 1. Divide
Dad
Divide 2 into first number in the dividend.
How many 2’s will go into 9?
Think how many 2’s will fit into 9.
Write that number directly above the number you divided into.

5. 2 ) 9 4 7 4 8 Step 2 in Long Division 2. Multiply 2 x 4 = 8 Mom
Multiply the divisor times the first number in the quotient.
2 x 4 = 8
Write your answer directly under the 9 or the number you just divided into.

6. 2 ) 9 4 7 4 8 1 Step 3 in Long Division 3. Subtract Sister
Draw a line under the 8.
Write a subtraction
sign next to the 8. 1
Subtract 8 from 9.
Write your answer directly below the 8.

7. 2 ) 9 4 7 4 8 1 4 Step 4 in Long Division 4. Bring down Brother
Go to the next number in the dividend to the right of the 9. 1 4
Write an arrow under
the 4.
Bring the 4 down next to the 1.

8. 2 ) 9 4 7 4 8 1 4 Step 5 in Long Division 5. Repeat or Remainder Rover
This is where you decide whether you repeat the 5 steps of division. 1 4
If your divisor can divide into your new
number, 14, or if you have numbers in the
dividend that have not been brought down,
you repeat the 5 steps of division.

9. 2 ) 9 4 7 4 7 8 1 4 Step 1 in Long Division 1. Divide Dad
Divide 2 into your new number, 14. 1 4
Place your answer
directly above the 4
in your quotient.

10. 2 ) 9 4 7 4 7 8 1 4 1 4 Step 2 in Long Division 2. Multiply Mom
Multiply your divisor, 2, with your new number in the quotient, 7. 1 4 1 4
Place your answer
directly under the 14.

11. 2 ) 9 4 7 4 7 8 1 4 1 4 Step 3 in Long Division 3. Subtract Sister
Draw a line under the bottom 14. 1 4
Draw a subtraction sign. 1 4
Subtract & place
answer under the
line.

12. 2 ) 9 4 7 4 7 8 1 4 1 4 7 Step 4 in Long Division 4. Bring down
Brother
2 ) 9 4 7 8
Put an arrow under the next number, 7, in the dividend. 1 4 1 4
Bring the 7 down next
to the 0. 7

13. Step 5 in Long Division
5. Repeat or Remainder 4 7
2 ) 9 4 7
Rover 8 1 4
If the 2 will divide into your new number, 7, then repeat the steps of division. 1 4 7

14. 2 ) 9 4 7 4 7 3 8 1 4 1 4 7 Step 1 in Long Division 1. Divide Dad
Divide your divisor, 2, into your new number, 7. 1 4
Place your answer in the
quotient next to the 7. 1 4 7

15. 2 ) 9 4 7 4 7 3 8 1 4 1 4 7 6 Step 2 in Long Division 2. Multiply Mom
Multiply your divisor, 2, by your new number in the quotient, 3. 1 4 7
Place your answer under
the number you brought
down, 7. 6

16. 2 ) 9 4 7 4 7 3 8 1 4 1 4 7 6 1 Step 3 in Long Division 3. Subtract
Sister 8 1 4
Draw a line under the number 6. 1 4
Place your subtraction
sign. 7
Subtract & put your
answer directly under the 6. 6 1

17. 2 ) 9 4 7 4 7 3 8 1 4 1 4 7 6 1 Step 4 in Long Division 4. Bring down
Brother 8 1 4
Look at your dividend to see if there are any more numbers to bring down. 1 4 7
If not, move to step 5. 6 1

18. 2 ) 9 4 7 4 7 3 8 1 4 1 4 7 6 1 R1 Step 5 in Long Division
5. Repeat or Remainder 4 7 3 R1
2 ) 9 4 7 8
Rover 1 4 1 4
Since there are no more numbers to bring down & 2 will not divide into 1, you do not repeat the steps of division. 7 6
The number left over, 1,
becomes the remainder. 1

19. Dividing a Decimal by a Whole Number
Place the decimal point in the quotient directly above the decimal point in the dividend.
Divide as you normally would (DMSBR)

20. Example
DMSCB 2 . 5 5
12.5 10 2 5 25

21. 1 1 . 2 8
Example 2 9
101.52 9 1 1 9 2 5 18 7 2 72

22. Dividing a Decimal by a Decimal
Move the decimal point in the divisor to the right, until you get to the end of the digits.
Count how many places you moved that decimal.
Move the decimal point in the dividend the same number of places to the right that you moved the decimal point in the divisor.

23. Example
0.3
6.72
One space
New problem 03
67.2

24. 2 2 . 4
DMSCB 3
67.2 6 7 6 1 2
1 2

25. Example 2
3.2
2.24 . 7 32 32
x 5
x 8 32
22.4
160
256
22 4 32
x 7
224

26. 0.38 13.3 Example 3 SO, our problem becomes 038 into 1330.
The decimal must be moved 2 spaces to the right.
When we move this one 2 spaces, we find that we need to add a space. What will we fill it with?
Answer: Fill it in with a becomes 1330
SO, our problem becomes 038 into 1330.
038 is the same as 38.

27. 3 5 38 38 38
1330
x 5
x 4
114
190
152 38 19
x 3
190
114

28. Example 4
2.48
1.3392
248
133.92

29. 248
248 . 5 4
x 5
x 6
1240
1488
248
133.92
124 0
248
x 4 9 9 2
992
9 92

30. Terminating and Repeating Decimals
A terminating decimal is a decimal that stops, or terminates.
Examples: 1.25 or 0.892
A repeating decimal is a decimal that has a repeating digit or a repeating group of digits.
Examples: … or …
Repeating decimals usually have a bar across the repeating portion.
2.3

31. 7 . 7 5 8 62 .0 56
Terminating decimal 6 56 4 40

32. . 8 3 3 5 .0 6
This is a repeating decimal.
4 8
.83 2 18 2 18 2