➗ Long Division: Calculator

See the quotient, remainder, and every step of the division.

QUOTIENT
0
remainder 0
Quotient
0
Remainder
0
Enter a dividend and divisor to see the step-by-step long division.

How Long Division Works

Long division is the standard method for dividing one whole number (the dividend) by another (the divisor) one digit at a time, producing a quotient and a remainder. At each step, you bring down the next digit of the dividend, figure out how many times the divisor fits into the current number, write that digit in the quotient, multiply it by the divisor, and subtract to find what's left over before bringing down the next digit.

Dividend = Divisor × Quotient + Remainder
At each step: bring down next digit → divide → multiply → subtract → repeat

Why the Remainder Matters

Unless a number divides evenly, long division always ends with a remainder smaller than the divisor. That remainder represents the leftover amount that couldn't be split evenly — you can leave it as a whole-number remainder, or continue the division into decimal places by adding a decimal point and bringing down zeros, depending on what the problem calls for.

Checking Your Work

You can always verify a long division result with a simple check: multiply the quotient by the divisor, then add the remainder. If that equals the original dividend, the division is correct. This calculator shows that check automatically alongside the step-by-step breakdown.

📎 Related Tools: Percentage Calculator Fraction Calculator Polynomial Long Division Calculator Least Common Multiple Calculator

❓ Frequently Asked Questions

What is long division used for?
Long division is used to divide larger whole numbers that are too big to divide easily in your head, breaking the process into simple digit-by-digit steps: bring down, divide, multiply, and subtract.
How do I know when to stop dividing?
For whole-number division, you stop once every digit of the dividend has been brought down and processed. What's left over at that point is the remainder.
Can long division produce a decimal answer instead of a remainder?
Yes. Instead of stopping at the remainder, you can add a decimal point to the dividend and keep bringing down zeros to continue dividing, which produces a decimal quotient instead of a whole-number remainder.
What happens if the divisor is larger than the dividend?
If the divisor is larger than the dividend, the quotient is 0 and the remainder is simply the original dividend, since the divisor doesn't fit into it even once.
How is long division different from the Polynomial Long Division Calculator?
This calculator divides two whole numbers (like 847 ÷ 23). The Polynomial Long Division Calculator uses the same core idea but applies it to algebraic expressions with variables, like dividing x³ − 6x² + 11x − 6 by x − 2.

🏆 About This Tool — Accuracy & Trust

🔒 Data Privacy: All calculations run entirely within your browser using JavaScript. Nothing you enter here is ever transmitted to our servers, stored, sold, or shared.

📐 Accuracy Note: This tool uses standard, widely published formulas and guidelines. Results are estimates for informational purposes; for financial, medical, or engineering decisions, consult a licensed professional.

📅 Last Updated: September 2026.