Long Division Calculator
Divide with a full worked long-division layout showing every step, the quotient, and the remainder.
Inputs
The number you are splitting up.
The number you are dividing by.
How many decimal digits to show when there is a remainder.
Quotient (integer)
125
Remainder
0
Quotient with decimals
125
Extended decimal from the long-division algorithm.
Step by step
Setup
875 ÷ 7
Divide digit by digit from left to right.
Step 1: bring down digit '8'
8 ÷ 7 = 1 (1 × 7 = 7)
= Remainder: 1
Step 2: bring down digit '7'
17 ÷ 7 = 2 (2 × 7 = 14)
= Remainder: 3
Step 3: bring down digit '5'
35 ÷ 7 = 5 (5 × 7 = 35)
= Remainder: 0
Final result
875 = 7 × 125 + 0
= Quotient 125, Remainder 0
How it works
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
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.