Page 45 - Math Genius C5

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\\October 8, 2025 12:09 PM Bharat Arora P-9 Reader _________________________ Date: ___________________74

( b) 2 4 8 6 3 Q Step 1: 62 > 25. So, divide 62 by 25. 25 × 2 = 50 is the
25 6 2 1 5 7 5 maximum possible product < 62.
– 5 0 Subtract 50 from 62 and bring down 1.

1 2 1 Step 2: 121 is the new partial dividend. Here, 25 × 4 =
– 1 0 0 100 is the maximum possible product < 121.
2 1 5 Subtract 100 from 121 and bring down 5.
– 2 0 0 Step 3: 215 is the new partial dividend. Here, 25 × 8 =

1 5 7 200 is the maximum possible product < 215.
– 1 5 0 Subtract 200 from 215 and bring down 7.
7 5 Step 4: 157 is the new partial dividend. Here, 25 × 6 = 150
– 7 5 < 157.
0 R Subtract 150 from 157 and bring down 5.
Step 5: 75 is the new partial dividend. Here, 25 × 3 =
75 = 75.

Subtract 75 from 75. Nothing is left and no
number is left to bring down.
Checking: Thus, Quotient = 24,863 and Remainder = 0.
Quotient × Divisor + Remainder = Dividend
24,863 × 25 + 0 = 6,21,575 + 0 = 6,21,575. The division is correct.

example 3: Divide the following and check your answer.
( a) 26,736 ÷ 125 (b) 3,03,683 ÷ 260

Solution: 2 1 3 Q Step 1: Divide 267 by 125. 125 × 2 = 250 is the maximum

( a) 125 2 6 7 3 6 possible product < 267. Subtract 250 from 267
– 2 5 0 and bring down 3.
1 7 3 Step 2: 173 is the new partial dividend. Here, 125 × 1 = 125
– 1 2 5 is the maximum possible product < 173.

4 8 6 Subtract 125 from 173 and bring down 6.
– 3 7 5 Step 3: Now, 486 is the new partial dividend. Here, 125 × 3
1 1 1 R = 375 is the maximum possible product < 486.

Subtract 375 from 486.

Step 4: 111 is left which is less than 125 and nothing is
left to bring down.
Checking:
Thus, Quotient = 213 and Remainder = 111.
Quotient × Divisor + Remainder = Dividend
213 × 125 + 111 = 26,736

26,625 + 111 = 26,736
26,736 = 26,736. The division is correct.

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