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\\December 8, 2023 9:53 AM Bharat Arora P-6 Reader _________________________ Date: ___________________74
Step 5: Divide 23 tens by 3. We have quotient 7 and remainder 2.
Step 6: Bring down the ones digit 1 next to the Q
remainder 2, making it 21. 3 4731 1577
3
Step 7: Now, divide 21 ones by 3. We have quotient 17
7 and remainder 0. 15
023
So, the quotient is 1577 and the remainder is 0. 21
Thus, Q = 1577 and R = 0 021
Checking: We have, 21
Quotient × Divisor + Remainder 00 (R)
= 1577 × 3 + 0 = 4731 = Dividend
example 2: Divide: 5437 ÷ 6.
Solution: Dividend
Divisor 6 5437 906 Q
54 If the number formed after bringing down a
037 digit is smaller than the divisor, put a ‘zero’ in
36 the quotient and bring down the next digit of
1 R dividend to continue the process of division.
Thus, Q = 906, R = 1
Checking: Quotient × Divisor + Remainder = 906 × 6 + 1 = 5437 = Dividend
example 3: Divide 83218 by 7 and verify your answer. 11888
Solution: Step 1: Divide the ten thousands by 7. 7 83218
7
8 ten thousands ÷ 7 = 1 ten thousand and remainder = 1 13
Step 2: Bring down the thousands digit. Divide the thousands, 7
62
by 7. 56
13 thousands ÷ 7 = 1 thousand and remainder = 6 61
56
Step 3: Bring down the hundreds digit. Divide the hundreds by 7. 58
62 hundreds ÷ 7 = 8 hundreds and remainder = 6 56
2
Step 4: Bring down the tens digit. Divide the tens by 7.
61 tens ÷ 7 = 8 tens and remainder = 5
Step 5: Now, bring down the ones. Note
Divide the ones by 7. Remainder in the division
process should always be less
58 ones ÷ 7 = 8 ones than the divisor. If a remainder
and remainder = 2 is more than the divisor, then,
check division because in such
Thus, 83218 ÷ 7 gives Q = 11888 and R = 2 case it is incorrect.
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