1. Division
Page 87 – 119

2. Basic Division Facts Pages 90 – 92 Parts of a Division Problem
Dividend = The number being divided.
Divisor = The number that divides into the dividend.
Quotient = The answer.
There are four common ways to write division.
Good for pages 8 and 21

3. Dividing by One-Digit Numbers
Pages 93 – 95
Dividing by One-Digit Numbers
Divide 156 by 4
Divide 15 ÷ 4 = 3. Put the 3 over the 5 in the dividend.
Multiply 3 x 4 = 12. Put the 12 directly under the 15.
Subtract 15 – 12 = 3
Bring down the next number from the dividend
Divide 36 ÷ 4 = 9. Put the 9 directly over the 6 in the dividend.
Multiply 9 x 4 = 36. Put the 36 directly under the 36 in the problem.
Subtract 36 – 36 = 0
Good for pages 8 and 21

4. Dividing by One-Digit Numbers: Cont.
Pages 93 – 95
Dividing by One-Digit Numbers: Cont.
When dividing by a 1-digit number, most of the work can be done by multiplying & subtracting mentally. Write each digit that you carry in the dividend. This procedure is called short division.
To check a division problem, multiply the quotient by the divisor. The product should be the dividend.
Good for pages 8 and 21

5. Pages 93 – 95
Example
Divide & Check
252 ÷ 6 =
540/9 = 42 60

6. Group Work Pages 93 – 95 Divide & Check 360 ÷ 4 = 8,874 ÷ 9 =
1,746/6 =
2,065 ÷ 5 =
2,325 ÷ 3 =
1,940 ÷ 5 = 90
986
291
413
775
388

7. Dividing with Reminders
Pages 96 – 98
Dividing with Reminders
Division problems do not always come out evenly. The amount left over is called the reminder.
To check a division problem with a remainder, multiply the quotient by the divisor. Then add the remainder. The result should equal the dividend.
Good for pages 8 and 21

8. Example Pages 96 – 98 Divide & check 12,503 ÷ 6 = 52,022 ÷ 8 =
2083 r 5
6502 r 6

9. Group Work Pages 96 – 98 Divide & check 1,449 ÷ 6 = 2,431 ÷ 4 =
1,619 ÷ 2 =
2,059 ÷ 7 =
8,197 ÷ 9 =
2,867 ÷ 4 =
241 r 3
607 r 3
809 r 1
294 r 1
910 r 7
716 r 3

10. Mental Math & Properties of Numbers
Page 99
Mental Math & Properties of Numbers
Commutative property of addition = the numbers in an addition problem can be added in any order.
Commutative property of multiplication = the numbers in a multiplication problem can be multiplied in any order
Subtraction & division are NOT commutative!
Good for pages 8 and 21

11. Mental Math & Properties of Numbers: Cont.
Page 99
Mental Math & Properties of Numbers: Cont.
Any number multiplied by one is that number & any number divided by one is that number
Any number multiplied by zero is zero & any number divide into zero is zero.
You cannot divide a number by zero! Any number divided by zero is undefined.
Good for pages 8 and 21

12. Dividing by Two-digit & Three-digit Numbers
Pages 100 – 106
Dividing by Two-digit & Three-digit Numbers
Dividing by two-digit & three-digit numbers is a tricky process.
It requires practice & a skill called estimating: that is, guessing how many times one number goes into another.
Good for pages 8 and 21

13. Pages 100 – 106
Example
Divide & check
336 ÷ 42 =
18,130 ÷ 37 = 8
490

14. Group Work Pages 100 – 106 Divide & check 465 ÷ 93 = 217 ÷ 31 =
200 ÷ 31 =
683 ÷ 82 =
538 ÷ 74 =
136/29 = 5 7
6 r 14
8 r 27
7 r 20
4 r 20

15. Rounding & Estimating Pages 107 – 108
Numbers that end in zeros are often easy to work with.
When both the dividend & the divisor end in zeros, you can cancel the zeros one-for-one.
Sometimes you can round the dividend to a number that is easy to divide into, You can use the rounded number to estimate an answer to the original division problem.

16. Pages 107 – 108
Example
Round each dividend to the nearest ten & the nearest hundred. Then decide which number is easier to divide. Use the easier rounded number to estimate the answer.
423 ÷ 7 =
716 ÷ 9 =
60.4
79.6

17. Two-Digit Accuracy & Using a Calculator
Pages 109 – 110
Two-Digit Accuracy & Using a Calculator
Another way to estimate answers is to do a partial division.
Instead of completing a division problem, try for two-digit accuracy.
Divide until you have three digits in the quotient.
Then round your answer.

18. Example Pages 109 – 110 Calculate each problem to two-digit accuracy.
7,936 ÷ 62 =
569,439 ÷ 93 =
128
6123

19. Pages 109 – 110
Group Work
Calculate each problem to two-digit accuracy.
18,316 ÷ 76 =
14,798 ÷ 49 =
34,506 ÷ 81 =
20,909 ÷ 29 =
45,724 ÷ 92 =
18,444 ÷ 53 =
241
302
426
721
497
348

20. Apply Your Division Skills
Pages 111 – 116
Apply Your Division Skills
Pay close attention to the language that tells you to divide. You may be asked how many of one thing are contained in something else.
You may be given information about several things & ask for information about one of those things.
You may be asked to find an average, or mean, is a total number divided by the number of things that make up the total.