The example division
- Input
- 1000 ÷ 7
- Expected output
- 142, resto 6
7 × 142 + 6 = 1,000.
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division with remainder calculator
In division with remainder, the dividend breaks down as dividend = divisor × quotient + remainder, with the remainder always at least zero and smaller than the divisor. The calculator opens with 1,000 ÷ 7: the quotient is 142 and the remainder is 6, because 7 × 142 = 994 and 994 + 6 = 1,000.
7 × 142 + 6 = 1,000.
52 weeks and 1 day.
14 weeks and 2 days.
Each friend gets 9 and 2 are left.
The 30 does not fit even once in 25.
Start with the easy ones (1, 2, 5, 10), then use the rule that order does not matter: if you know 3 × 7 you already know 7 × 3. That leaves 36 distinct products between 2 and 9. Practice a few at a time, in short sessions of 10 to 20 facts, and let Practice repeat the ones you miss: it gives them more weight when drawing.
No. If a value equal to or larger than the divisor were left, it would fit one more time and the quotient would grow. The remainder runs from 0 up to the divisor minus 1.
That the division is exact: the divisor is a divisor of the dividend. In 48 ÷ 6 the remainder is 0 because 6 is in the list of divisors of 48.
Subtract the largest multiple of the divisor that does not go past the dividend. In 365 ÷ 7, the largest multiple of 7 up to 365 is 364, and 365 − 364 = 1.
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Related: Fraction calculator · Divisors of a number · GCD and LCM