Quotient and Remainder Calculator

The Quotient and Remainder Calculator computes the integer quotient and remainder of dividend ÷ divisor, along with a plain-arithmetic verification line and the full decimal result. Enter a dividend and a divisor and it returns all four instantly — exact for integers of any size, not just what fits in a normal calculator.

It's built for anyone checking long-division homework, verifying a division by hand, or working with integers too large for a standard calculator to handle without rounding.

How to use it

1. Enter the dividend — the number being divided.
2. Enter the divisor — the number to divide by. It cannot be zero.
3. Read the Quotient, Remainder, whether the division is Evenly Divisible, the Decimal Result, and the Verification line.

Results update automatically as you type. For example, 47 ÷ 5 gives quotient 9, remainder 2, decimal result 9.4, and verification 47 = (5 × 9) + 2.

What "quotient and remainder" means

For any dividend and non-zero divisor, there's exactly one pair of integers — the quotient and the remainder — that satisfies:

dividend = (divisor × quotient) + remainder

The Verification field shows exactly this equation filled in with your numbers, so you can confirm the result by hand.

Rounding direction

Division here truncates toward zero — the same convention most calculators and programming languages use for integer division. That means the remainder always takes the dividend's sign: for -17 ÷ 5, the quotient is -3 (not -4) and the remainder is -2, since 5 × -3 + -2 = -17.

Why big integers matter

Ordinary floating-point arithmetic starts losing precision past about 15–17 significant digits. This calculator uses arbitrary-precision integer arithmetic throughout, so the quotient, remainder, and verification stay exact no matter how large your dividend or divisor is — well beyond what a typical calculator (or a naive Number-based one) can handle correctly.

Decimal result

Alongside the integer quotient/remainder, the Decimal Result field shows the same division as a decimal — up to 10 digits past the decimal point, with a trailing "…" if the expansion doesn't terminate within that range (e.g. a repeating decimal like 1/3).

Privacy

This calculator runs entirely in your browser. Your dividend and divisor are never uploaded, logged, or stored — the computation happens locally on your device.

Related tools

For general big-integer arithmetic — addition, subtraction, multiplication, exponentiation, and modulo — see the Big Integer Calculator.