The example division
- Input
- 7845 ÷ 12
- Expected output
- 653, resto 9
653 × 12 + 9 = 7,845.
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long division calculator with steps
Long division with the bracket method repeats four moves: see how many times the divisor fits, multiply, subtract and bring down the next digit. The calculator opens with 7,845 ÷ 12 already set up, and the Show step by step button reveals one stage at a time, with the explanation.
653 × 12 + 9 = 7,845.
4 fits 6 times in 25 and 4 times in 18.
After the 10, the 0 allows no division: a 0 is written.
154 × 8 = 1,232 and 2 are left.
The remainder 2 becomes 20, 20 ÷ 8 = 2 remainder 4, then 40 ÷ 8 = 5.
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.
The dividend, the number being split, goes inside, on the left. The divisor goes outside, on the right, and the quotient appears below it.
Write 0 in the quotient and bring down the next digit. If it was the last one, the number left over is the remainder of the division.
Multiply the quotient by the divisor and add the remainder. The result must equal the dividend: 653 × 12 + 9 = 7,845.
Yes. Multiply the dividend and the divisor by the same power of 10 until the divisor is whole: 7.5 ÷ 2.5 becomes 75 ÷ 25 = 3. The calculator makes this adjustment and notes it in the first step.
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Related: Fraction calculator · Divisors of a number · GCD and LCM