Long Division Calculator — Step-by-Step Division with Remainder
Master long division: enter a dividend and divisor to see how the quotient is built digit by digit — with every bring-down, subtraction and remainder shown explicitly.
Remainder: 2
Step 1: Start with 9
Step 2: Bring down 5 → partial dividend = 25
Step 3: Bring down 4 → partial dividend = 44
Result
- 1
Dividend
954 - 2
Divisor
7 - 3
Quotient = ⌊dividend ÷ divisor⌋
⌊954 ÷ 7⌋ = 136 - 4
Remainder = dividend − divisor × quotient
954 − 7 × 136 = 2Always satisfies 0 ≤ remainder < divisor.
How does this calculator work?
Long division builds the quotient digit by digit from left to right. At each step, bring down the next dividend digit, divide by the divisor, write the quotient digit, subtract, and record the remainder. When all digits are done, the leftover is the final remainder. Dividend = Divisor × Quotient + Remainder.
Formula
How this is calculated
Long division processes the digits of the dividend from left to right, maintaining a "current partial dividend." At each step, one more digit is brought down from the dividend and appended to the right of the current partial value. The algorithm then finds how many times the divisor fits into this partial dividend (the quotient digit), multiplies the divisor by that digit, subtracts the result, and the leftover becomes the new current value for the next step.
A quotient digit of 0 is written whenever the current partial value is smaller than the divisor — this is common for dividends with internal zeros (for example, 1004 ÷ 7). The process ends when all digits have been brought down; whatever remains is the integer remainder. The remainder satisfies 0 ≤ remainder < divisor.
This calculator supports dividends up to 9,999,999 and divisors from 1 upward. The decimal quotient (dividend ÷ divisor as a floating-point number) is also shown for reference.
Frequently asked questions
The remainder is the amount left over after the divisor has gone into the dividend as many whole times as possible. It satisfies 0 ≤ remainder < divisor. For example, 17 ÷ 5 = 3 remainder 2, because 5 × 3 = 15 and 17 − 15 = 2.
A 0 is written in the quotient whenever the current partial dividend is smaller than the divisor. The next digit of the dividend is then immediately brought down to continue. For example, dividing 102 by 7: 7 goes into 10 once (remainder 3), then 3 is less than 7 so a 0 is written and 2 is brought down to give 32.
After reaching the last digit of the dividend, continue by placing a decimal point in the quotient and appending zeros to the remainder. Divide as normal. The "Decimal result" field shows the full floating-point answer for reference.
Also known as
TG we-Calculate Editorial Team. (2026). Long Division Calculator — Step-by-Step Division with Remainder [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/long-division-calculator
TG we-Calculate Editorial Team. "Long Division Calculator — Step-by-Step Division with Remainder." TG we-Calculate. 2026. https://we-calculate.com/calculator/long-division-calculator.
TG we-Calculate Editorial Team, "Long Division Calculator — Step-by-Step Division with Remainder," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/long-division-calculator
@misc{wecalculate_long_division_calculator, title = {Long Division Calculator — Step-by-Step Division with Remainder}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/long-division-calculator}}, year = {2026}, note = {TG we-Calculate} }
Did this calculator help you?