You enter an integer dividend and a nonzero integer divisor. The tool computes the whole-number quotient using floor division, the integer remainder using the modulo operation, and the decimal result by standard division. It also reduces the remainder over the divisor to lowest terms using the greatest common divisor to produce the mixed number form. The step-by-step work walks through the standard long division algorithm digit by digit.
The quotient will be 0 and the remainder equals the dividend. The result is shown as a proper fraction (e.g., 3 ÷ 7 = 0 remainder 3, or 3/7 as a fraction).
Yes. The calculator handles negative dividends and divisors. Note that conventions for the sign of the remainder can vary across programming languages and math textbooks.
Some divisions produce repeating decimals (like 1 ÷ 3 = 0.333...). The calculator shows up to 10 decimal places to give you a precise approximation without displaying infinitely many digits.
The tool finds the greatest common divisor (GCD) of the remainder and divisor, then divides both by it. For example, 6/8 is reduced to 3/4 because GCD(6, 8) = 2.
Yes. The step-by-step work mirrors the standard algorithm: bring down each digit of the dividend, divide by the divisor, record the quotient digit, and carry the remainder to the next step.
Estimate only. Results reflect your inputs and standard formulas. Double-check important decisions independently.