Long Divisionwith full work shown
Divide whole numbers the traditional way. Quotient, remainder, decimal expansion, and every divide → multiply → subtract → bring-down step rendered like a notebook page.
Set up the division
0 to 8 places — decimal digits continue the same division algorithm past the remainder.
| Step | Bring down | Current | Divide | Multiply | Subtract |
|---|---|---|---|---|---|
| 1 | 1 | 1 | 1 ÷ 12 = 0 | 0 × 12 = 0 | 1 − 0 = 1 |
| 2 | 2 | 12 | 12 ÷ 12 = 1 | 1 × 12 = 12 | 12 − 12 = 0 |
| 3 | 3 | 3 | 3 ÷ 12 = 0 | 0 × 12 = 0 | 3 − 0 = 3 |
| 4 | 4 | 34 | 34 ÷ 12 = 2 | 2 × 12 = 24 | 34 − 24 = 10 |
Divide
Look at the current chunk of the dividend and find how many times the divisor fits.
Multiply
Multiply that quotient digit by the divisor to produce the row product.
Subtract
Subtract the product from the current chunk to get the row remainder.
Bring down
Bring down the next dividend digit. Repeat until every digit is used.
Every result is checkable in one line.
The four-step cycle yields a quotient and a remainder strictly smaller than the divisor:
If the remainder is ever ≥ divisor, increase the quotient digit. The decimal expansion simply continues the algorithm: multiply the remainder by 10 and divide again.
How do you do long division?→
Long division repeats four actions for each digit of the dividend: divide the current chunk by the divisor, multiply the quotient digit by the divisor, subtract that product, then bring down the next digit.
What are quotient and remainder?→
The quotient is how many whole times the divisor fits into the dividend. The remainder is what is left over after those whole groups are removed. The check is Dividend = Divisor x Quotient + Remainder.
Can long division make decimals?→
Yes. After the whole-number quotient and remainder are found, you can continue by adding decimal places. Multiply the remainder by 10, divide again, and repeat for each decimal digit.
What inputs does this calculator support?→
This calculator supports a non-negative whole-number dividend and a positive whole-number divisor. It keeps the step table readable by limiting the dividend to 24 digits and the divisor to 12 digits.
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