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CheCking DiviSion

Division can be checked using the following relation:

Quotient (Q) × Divisor + Remainder (R) = Dividend

example. Divide 52 by 6 and check your division.
Solution. By using the long division method:

8 Quotient (Q)

Divisor 6 5 2 Dividend The remainder
– 4 8 must be less than
the divisor.
4 Remainder (R)

Checking: Quotient (Q) × Divisor + Remainder (R) = Dividend

8 × 6 + 4 = 52
The answer is the same
48 + 4 = 52 as the dividend. Therefore,
52 = 52 the division is correct.

Exercise 4A

1. Fill in the blanks.

a. If 85 ÷ 5 = 17, then dividend = ________, divisor = ________, quotient = ________

b. If 112 ÷ 7 = 16, then dividend = ________, divisor = ________, quotient = ________

c. 16 ÷ ________ = 16 d. ________ ÷ 72 = 1

e. 125 ÷ ________ = 125 f. 9 ÷ ________ = 1

g. ________ ÷ 27 = 1 h. 135 ÷ ________ = 1
i. ________ ÷ 7 = 0 j. 0 ÷ 16 = ________

k. ________ ÷ 124 = 0

2. Write the division facts for the following:

a. 7 × 5 = 35 : ________ , ________ b. 16 × 6 = 96 : ________ , ________

c. 10 × 12 = 120 : ________ , ________ d. 14 × 18 = 252 : ________ , ________

e. 9 × 15 = 135 : ________ , ________ f. 23 × 32 = 736 : ________ , ________

3. Find the quotient and remainder by long division. Check your answer.
a. 77 ÷ 4 b. 78 ÷ 5 c. 84 ÷ 8 d. 54 ÷ 3

e. 80 ÷ 6 f. 81 ÷ 7 g. 46 ÷ 5 h. 66 ÷ 7

62 Mathematics 4