Page 43 - Math Skill - 4

Multiplication and Division 41

Division by a 2-digit number Fact-o-meter
Let us divide 4385 by 16 and check the answer. The dividend cannot

Hence, Quotient = 274, Remainder = 1 2 7 4 be less than the
divisor. The remainder
Check: Divisor × Quotient + Remainder 16 4 3 8 5 is always smaller than

= 16 × 274 + 1 – 3 2 the divisor. If it is not
so then check your
= 4384 + 1 1 1 8 division again.
– 1 1 2
= 4385 6 5
= Dividend. – 6 4
1
Thus, the answer is correct.

Let’s Attempt

Example 1: Divide 9437 by 26 and check your answer. 3 6 2

Solution: Quotient = 362, Remainder = 25 26 9 4 3 7
Check: Divisor × Quotient + Remainder – 7 8

= 26 × 362 + 25 1 6 3
– 1 5 6
= 9412 + 25 7 7

= 9437 = Dividend. – 5 2
Here, Quotient = 362, Remainder = 25 2 5

Example 2: Divide 18735 by 31 and check your answer.
Solution: Quotient = 604, Remainder = 11 0 0 6 0 4
Check: Divisor × Quotient + Remainder 31 1 8 7 3 5

= 31 × 604 + 11 – 1 8 6

= 18724 + 11 1 3 5
= 18735 = Dividend – 1 2 4
1 1
Thus, the answer is correct.

Exercise 3.4

1. Divide the following and find the quotient and remainder.
(a) 2478 by 13 (b) 8125 by 33 (c) 9817 by 29
(d) 6348 by 24 (e) 9000 by 37 (f) 9983 by 83

(g) 20763 by 99 (h) 7735 by 23 (i) 10009 by 18
(j) 72500 by 7 (k) 80035 by 9 (l) 68025 by 57

(m) 80808 by 34 (n) 47809 by 19 (o) 31765 by 98
2. Find the quotient and remainder when dividend = 6840 and divisor = 47.