Long Division Calculator
Divide with a full worked long-division layout, quotient and remainder.
About Long Division Calculator
Long division works one digit at a time from left to right. At each step you bring down the next digit of the dividend, ask how many times the divisor fits into the running total, subtract that multiple, and carry the leftover. The digits you wrote across the top form the quotient; the final leftover is the remainder.
Formula
Division identity
Dividend = Divisor × Quotient + Remainder
- Remainder
- Always in the range [0, Divisor − 1] for positive inputs
Worked example
With the default values below, Long Division Calculator returns Quotient (integer) of 125. Change any input above and every figure here is recalculated in your browser.
Inputs used
- Dividend (the number being divided)
- 875
- Divisor (divide by)minimum 1
- 7
- Decimal extension (extra digits)accepts 0–10
- 2
Results
- Quotient (integer)
- 125
- Remainder
- 0
- Quotient with decimalsExtended decimal from the long-division algorithm.
- 125
Step by step
- 1SetupDivide digit by digit from left to right.
- 2Step 1: bring down digit '8'= Remainder: 1
- 3Step 2: bring down digit '7'= Remainder: 3
- 4Step 3: bring down digit '5'= Remainder: 0
- 5Final result= Quotient 125, Remainder 0
Assumptions and limits
- The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to whole numbers, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
What does the remainder mean?
The remainder is what's left over after dividing as many whole times as possible. If you divide 17 cookies equally among 5 people, each person gets 3 (the quotient) and 2 cookies are left over (the remainder).
How do I check my division answer?
Multiply the quotient by the divisor and add the remainder. The result should equal the dividend. For example: 7 × 125 + 0 = 875 ✓.
Why do the steps show extra digits after the decimal point?
When there is a remainder, the 'decimal extension' setting adds zeros to the dividend and continues dividing, giving you a decimal approximation. Set it to 0 if you only want the integer quotient and remainder.