Real-life example used to illustrate the concept of long division.

1. Division

2. Division without remainderDivision without remainder

3. Division without remainderDivision without remainder
12 ÷ 3 = ?

4. Division without remainderDivision without remainder
Think of our 3 times table ……
1 x 3 = 3
2 x 3 = 6
3 x 3 = 9
4 x 3 = 12
.
.
.
Choose the one that gives you
the exact answer 12

5. Division without remainderDivision without remainder
12 ÷ 3 = 4
Each person gets 4 gummy bears each!

6. Division with remainderDivision with remainder
16 ÷ 3 = ?

7. Division with remainderDivision with remainder
Think of our 3 times table again…
1 x 3 = 3
2 x 3 = 6
3 x 3 = 9
4 x 3 = 12
5 x 3 = 15
6 x 3 = 18
Don’t have an answer which is exactly 16,
but these two are closest to 16...which one
to choose?

8. Division with remainderDivision with remainder
Think of our 3 times table again…
1 x 3 = 3
2 x 3 = 6
3 x 3 = 9
4 x 3 = 12
5 x 3 = 15
6 x 3 = 18
Don’t have an answer which is exactly 16,
but these two are closest to 16...which one
to choose?
✗
✓ We only have 16 gummy bears, 18
is more than what we have to share!
The closest answer in the 3 times
table is 15!

9. Division with remainderDivision with remainder
16 ÷ 3 = 5 R 1
Remainder 

10. 16 ÷ 3 = 4 R 4
Remainder 
What is wrong with this?What is wrong with this?

11. 16 ÷ 3 = 4 R 4
Remainder 
What is wrong with this?What is wrong with this?
There is still
enough to give
each of them 1
more!

12. 16 ÷ 3 = 4 R 4
Remainder 
What is wrong with this?What is wrong with this?
The remainder should never be
greater than the number you
are dividing by
16 ÷ 3 = 5 R 1 ✓
✗

13. Long Division

14. Long Division using gummy bearsLong Division using gummy bears
 
Ten Gummy Bears1 Packet of
Ten Gummy Bears
10 Gummy Bears
inside !
Tens Ones

15. Long Division using gummy bearsLong Division using gummy bears
54 ÷ 3 = ?

16. Long Division using gummy bearsLong Division using gummy bears
5 43
What they are each
going to get
What they are each
going to get

17. Long Division using gummy bearsLong Division using gummy bears
5 43
-
Tens Ones
1
- 3
2

18. Long Division using gummy bearsLong Division using gummy bears
5 43
-
Tens Ones
1
- 3
2
2 Tens cannot be
divided by 3

19. Long Division using gummy bearsLong Division using gummy bears
5 43
-
Tens Ones
1
- 3
2
2 Tens = 20 Ones

20. Long Division using gummy bearsLong Division using gummy bears
5 43
-
Tens Ones
1
- 3
2

21. Long Division using gummy bearsLong Division using gummy bears
5 43
-
Tens Ones
1
- 3
2 4

22. Long Division using gummy bearsLong Division using gummy bears
5 43
-
Tens Ones
1
- 3
2 4
8

23. Long Division using gummy bearsLong Division using gummy bears
5 43
-
Tens Ones
1
- 3
42
- 2 4
8
-

24. Long Division using gummy bearsLong Division using gummy bears
5 43
-
Tens Ones
1
- 3
42
- 2 4
0
8
-
Each gets
18 gummy
bear!

25. Long Division using gummy bearsLong Division using gummy bears
5 43
-
Tens Ones
1
- 3
42
- 2 4
0
8
-