Page 44 - MathGPT_V1.0_C5

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\\November 3, 2023 10:57 AM Surender Prajapati Proof 5 Reader _________________________ Date: ___________________74

Checking: Step 3: The new dividend is 124 > 23.
Quotient × Divisor + Divide 23 124
Remainder = 3754 × 23 + 3 Think: 2 12 is 6.

TTh Th H T O Thus, 23 124 is about 6.

3 7 5 4 Multiply 23 × 6 = 138 > 124,
× 2 3 so take 23 × 5 = 115 < 124

1 1 2 6 2 Subtract 115 from 124 and bring down 5.
+ 7 5 0 8 0 Step 4: Now, the new dividend is 95 > 23.
8 6 3 4 2 Divide 23 95

= 86342 + 3 Think: 2 9 is about 4.

= 86345 = Dividend Thus, 23 95 is about 4.
The division is correct. Multiply 23 × 4 = 92 < 95.
Subtract 92 from 95. There is no more

digit to bring down, so stop the
process.
Thus, Quotient = 3754 and Remainder = 3.

(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 obtained < 62.
– 5 0 Subtract 50 from 62 and bring down 1.

1 2 1 Step 2: 121 is the new dividend. Here, 25 × 4 = 100 is
– 1 0 0 the maximum possible product obtained < 121.

2 1 5 Subtract 100 from 121 and bring down 5.
– 2 0 0

1 5 7 Step 3: 215 is the new partial dividend. Here, 25 × 8 =
– 1 5 0 200 is the maximum possible product < 215.
7 5 Subtract 200 from 215 and bring down 7.
– 7 5 Step 4: 157 is the new dividend. Here, 25 × 6 = 150 < 157.
0 R Subtract 150 from 157 and bring down 5.

Step 5: 75 is the new dividend. Here, 25 × 3 = 75 = 75.

Subtract 75 from 75. Nothing is left and no
number is left to bring down.
Checking: Thus, Quotient = 24863 and Remainder = 0

Quotient × Divisor + Remainder = Dividend

24863 × 25 + 0 = 621575 + 0 = 621575. The division is correct.

Teacher’s Encourage students to think about the table of the digit at highest place about the divisor while doing long
Tip division by 2-digit or 3-digit divisions.

42 Mathematics-5