Page 78 - Math Genius C4

E:\Working\Orange_Education\Math_Genius_4\Open_Files\Chap-04
\ 30-Sep-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________

Step 2: Subtract 75 from 89 to get 14 as the remainder.

Bring down 7 to make it 147.
Step 3: Divide 147 by 15.

15 goes into 147 nine times as 15 × 9 = 135 < 147.

Write 9 in the tens place of the quotient and 135 below 147.

Step 4: Subtract 135 from 147 to get 12 as the remainder.

Bring down 6 to make it 126. Divisor
Step 5: Divide 126 by 15. 15 8976 598 Q

15 goes into 126 eight times as – 75 The first
leading
15 × 8 = 120 < 126. 147 partial

Write 8 in the ones place of the quotient – 135 dividend.
126
and 120 below 126. – 120

Step 6: Subtract 120 from 126 to get 6 as the 6 R
remainder.

Checking: Quotient × Divisor + Remainder = 15 × 598 + 6 = 8976 = Dividend

Hence, the answer is correct.

Example 2: Divide 88765 by 36 and check your division.
Solution:

36 88765 2465
88 is the leading first partial dividend.
72 36 × 2 = 72 72 is the maximum possible
product < 88.
167 Subtract: 88 – 72 = 16 and bring down 7.
144 36 × 4 = 144 144 is the maximum possible
236 Subtract: 167 – 144 = 23 and bring down 6. product < 167.
216 36 × 6 = 216
205 Subtract: 236 – 216 = 20 and bring down 5. 216 is the maximum possible
180 36 × 5 = 180 product < 236.
25 R Subtract: 205 – 180 = 25 180 is the maximum possible

25 is the remainder. product < 205.
Thus, 88765 ÷ 36 gives Q = 2465, R = 25.

Checking: Divisor × Quotient + Remainder
= 2465 × 36 + 25 Be Aware

= 88740 + 25 Division by more than a 1-digit

= 88765 = Dividend number requires estimation of
suitable products through mental
Thus, the answer is correct. calculation or times tables.

76 Mathematics-4