Long Division: No Remainder & With Remainder

Long Division is a method for dividing large numbers, which breaks the division problem into multiple steps following a sequence. Just like the regular division problems, the dividend is divided by the divisor which gives a result known as the quotient, and sometimes it gives a remainder too. This lesson will give you an overview of the long division method along with its steps and examples.

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 =