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example 3. Divide 86345 by 23 and check the answer.
Solution. 3 7 5 4 Q

23 8 6 3 4 5 Checking:

– 6 9 Quotient × Divisor + Remainder = Dividend

1 7 3 3754 × 23 + 3 = 86345 3 7 5 4
– 1 6 1
2
3
1 2 4 86342 + 3 = 86345 × 1 1 2 6 2
– 1 1 5 86345 = 86345 + 7 5 0 8 0

9 5 Therefore, the division is 8 6 3 4 2
– 9 2 correct.
3 R

example 4. Divide 264609 by 42 and check the answer.
Solution. 6 3 0 0 Q

42 2 6 4 6 0 9 Checking:

– 2 5 2 Quotient × Divisor + Remainder = Dividend

1 2 6 6300 × 42 + 9 = 264609 6 3 0 0
– 1 2 6
0 0 264600 + 9 = 264609 × 4 2
1
2 6 0 0
– 0 264609 = 264609 + 2 5 2 0 0 0
0 9 Therefore, the division is
– 0 correct. 2 6 4 6 0 0

9 R

example 5. Divide 303683 by 260 and check the answer.

Solution. 1 1 6 8 Q

260 3 0 3 6 8 3 Checking:

– 2 6 0 Quotient × Divisor + Remainder = Dividend
4 3 6
– 2 6 0 1168 × 260 + 3 = 303683 1 1 6 8

1 7 6 8 303680 + 3 = 303683 × 2 6 0
– 1 5 6 0 0 0 0 0
303683 = 303683 7 0 0 8 0
2 0 8 3
– 2 0 8 0 Therefore, the division + 2 3 3 6 0 0
3 R is correct. 3 0 3 6 8 0

54 Mathematics 5