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Arithmetic • Step-by-Step

Long Division Calculator

Divide numbers with step-by-step long division process

Result
1575 ÷ 12 = 131 remainder 3
Remainder 3
Step-by-step long division will appear here.

What This Long Division Calculator Does

Enter a dividend and a divisor and this tool walks through the full long division process one step at a time, showing the quotient and remainder along with each intermediate subtraction — useful for checking homework or refreshing the method.

How It Works

Long division breaks a division problem into a sequence of smaller steps: bring down one digit of the dividend at a time, divide the running total by the divisor, write down that digit of the quotient, multiply it back out, and subtract to find what carries into the next step. Repeating this digit by digit produces the full quotient and a final remainder.

Check your work: Dividend = (Quotient × Divisor) + Remainder.

Frequently Asked Questions

What is a remainder in division?

The remainder is what's left over after dividing as many whole times as possible. For 17 ÷ 5, the quotient is 3 and the remainder is 2, since 3×5=15 and 17−15=2.

How do I check a long division answer?

Multiply the quotient by the divisor, then add the remainder. The result should equal the original dividend. If it doesn't, there's an error somewhere in the steps.

What happens when you divide by zero?

Division by zero is undefined in standard arithmetic — there's no number that, multiplied by zero, gives a nonzero dividend. This calculator will flag it as an error rather than return a result.

Last updated: July 26, 2026