Division can be solved using repeated addition or repeated subtraction. With repeated addition, you think of division as sharing equally into groups. With repeated subtraction, you think of division as repeatedly subtracting the divisor from the dividend until you reach zero or a number less than the divisor. The number of subtractions is the quotient.

1. Division
A Quick Review!

2. Vocabulary
Quotient: the
answer to a division
problem Dividend: the
4 number being
divided
9 36
Divisor: the
number that divides
the dividend
The problem shown above
can also be written like this: 36 ÷ 9 = 4

3. 48 ÷ 6 = 8
Which number is the dividend?
Which number is the quotient?

4. 11
12 132
Which number is the divisor?
Which number is the quotient?

5. Division
• When dividing, think sharing equally.
• Let’s try dividing by placing the same
number of items in groups.
• Grab your goldfish crackers...

6. Let’s say you have 15 goldfish crackers. You want to share
these crackers with 3 friends. Each friend needs to have
the same number of crackers. How many will each get?
Friend 1 Friend 2 Friend 3

7. Let’s say you have 15 goldfish crackers. You want to share
these crackers with 3 friends. Each friend needs to have
the same number of crackers. How many will each get?
Friend 1 Friend 2 Friend 3
Each friend gets 5 crackers with none leftover.

8. Let’s try another example
Jayne wants to share her 19 crackers with 4
friends. If each friend gets the same number
of crackers, how many will each get?

9. Jayne wants to share her 19 crackers with 4 friends. If
each friend gets the same number of crackers, how many
will each get?
Friend 1 Friend 2 Friend 3 Friend 4
4r3
4 19
Each friend gets 4 crackers. In this case, there will be 3
crackers left over. This number, 3, is the remainder.

10. Another Division Strategy
You probably remember that multiplication is repeated
addition.
Division can also be thought of as
repeated subtraction!

11. 18 ÷ 3
1. Whatever the dividend is, keep
subtracting the divisor until you get to 0 or
an answer that is less than your divisor.
2. The amount of times you subtracted is
your quotient or your answer!! Yeah!!

12. 18 ÷ 3
1. Start with 18 goldfish crackers.
2. How many times did you subtract 3?

13. 18
Repeated -3 1
To get the answer, count
the number of times you
Subtraction 15 subtracted 3.
-3 2
12
-3 3
Keep subtracting 3 until
you reach zero! 9
-3
4
6
-3 5
3
-3 6
18 ÷ 3 = 6
0

14. 21 ÷ 4
1. Start with 21 goldfish crackers.
2. How many times did you subtract 4?

15. Repeated 21 To get the answer, count
the number of times you
-4
Subtraction 1 subtracted 4.
17
-4 2
Keep subtracting 3 until
13
you reach zero! -4 3
9
-4
4
Since you can’t subtract 4 from 5
1, this number becomes your -4 5
remainder.
1 21 ÷ 4 = 5 r 1

16. Use repeated subtraction to solve
the following division problems on
your slates.
28 ÷ 9
72 ÷ 12

17. Closure
Answer the following question on your slate:
What are two strategies you can use to solve
division problems?