The document provides instructions on long division with and without remainders. It explains the four step process for long division as: 1) divide, 2) write your answer and multiply, 3) subtract the answer from the original number, 4) bring down the next digit to continue dividing. Examples are provided of dividing numbers without remainders, where the quotient is a whole number, and with remainders, where there is a remainder left over. Practice problems are included at the end to divide 16 by 2 and 86 by 5.

1. Mathematics
Long Division
Standard 3
Objectives
No Remainder & With Remainder

2. Long Division
Your Teacher’s Way
When dividing, we follow 4 steps.
Step 1: You divide.
Step 2: Your answer, then multiply.
Step 3: Your answer, then take away.
Step 4: You bring down to divide again.

3. No Remainder
Operation symbol (division sign)
4 ÷ 2 = 02
Quotient
Equal sign
Divisor
Dividend

4. No Remainder
0
4
2
4
2
x
÷
-
=

5. No Remainder
Operation symbol (division sign)
42 ÷ 2 = 21
Quotient
Equal sign
Divisor
Dividend

6. No Remainder
0
2
2
0
2
x
÷
-
=
4
4
0 2
0 2
0
1
T T
T
0
0
T
0 0
0
0
-

7. With Remainder
Operation symbol (division sign)
R 1
41 ÷ 2 = 20
Quotient
Equal sign
Divisor
Dividend

8. With Remainder
1
1
2
0
2
x
÷
-
=
4
4
0 1
0 0
0
0
T T
T
0
0
T
0 0
0
0
-

9. With Remainder
Operation symbol (division sign)
R 1
15 ÷ 2 = 07
Quotient
Equal sign
Divisor
Dividend

10. 7
With Remainder
1
5
2
0
0
x
÷
-
=
1
0
1 5
1 4
0
7
T T
T
0
0
T
T0 0
0
T0
-
T
T0
T0 T0

11. Work out
Try these two:
1. 16 ÷ 2 =
2. 86 ÷ 5 =