Page 66 - Fun with Mathematics 2

SHORT DIVISION

When we know the tables and have lots of practice, we wish to find a method
of division that is quick and short.

(a) T O Notice the change in making the division line.
4
4
4
4
2 2 Step 1. Divide tens by 2. ÷ 2 = 2 (2 × 2 = )
Q = 2 1 Step 2. Move to the ones. 2 ÷ 2 = 1 (1 × 2 = 2)
The quotient is 21.
R = 0

(b) T O Step 1. Divide 3 tens by 3. 3 ÷ 3 = 1 (3 × 1 = 3)

3 3 7 Step 2. Divide 7 ones. 7 ÷ 3 = 2

Q = 1 2 (2 × 3 = 6) with 1 as the remainder
R = 1 The quotient is 12 and the remainder is 1.

(c) H T O Step 1. 8 cannot divide 5 hundreds exactly. Consider 56.

8 5 6 5 Step 2. 56 ÷ 8 = 7 (7 × 8 = 56) with nothing left over.

Q = 7 0 Step 3. Move to the ones
R = 5 5 ÷ 8 (cannot divide, so we write a 0).
So, 5 ones is the remainder.

The quotient is 70 and the remainder is 5.

7 Solve by short division.

(a) T O (b) T O (c) T O (d) T O

5 5 5 3 6 9 4 8 4 7 9 8
Q = Q = Q = Q =

R = R = R = R =

(e) H T O (f) H T O (g) H T O (h) H T O
4
8 6
2 6 5 4 4 5 5 5 8 6 6 7 8
Q = Q = Q = Q =
R = R = R = R =

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