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Math

Long Division Calculator

Divide two numbers and get the quotient, remainder, and decimal result.

Dividend ÷ Divisor = Quotient, remainder Remainder

Try an example

Quotient and remainder

24 remainder 1

Decimal result24.25

About this calculator

How This Long Division Calculator Works

Enter a dividend and a divisor, and the calculator returns the quotient and remainder, plus the full decimal result.

Worked Example

97 ÷ 4 = 24 remainder 1 — or 24.25 as a decimal.

The Relationship Between the Parts

The quotient is how many whole times the divisor fits into the dividend. Whatever's left over — too small for the divisor to divide again — is the remainder. These always satisfy quotient × divisor + remainder = dividend, which is a quick way to check any long division by hand: 24 × 4 + 1 = 97.

Worked example

97 ÷ 4 = 24 remainder 1 — the same value written as a decimal is 24.25.

Frequently asked questions

How does long division work?

Find how many times the divisor fits into the dividend without going over (the quotient); whatever's left over is the remainder.

How do I check my answer?

Multiply the quotient by the divisor and add the remainder — it should equal the original dividend: 24 × 4 + 1 = 97.

What if the divisor is bigger than the dividend?

The quotient is 0 and the remainder is the whole dividend, e.g. 3 ÷ 7 = 0 remainder 3.

Can I divide negative numbers?

Yes — enter a negative dividend or divisor and the calculator returns the signed result.

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