Division with quotient, remainder, decimal, reduced fraction and mixed number.
Quick division: the decimal answer, the whole-number quotient with remainder, and the exact fraction — all at once. For step-by-step school working, use the Long Division Calculator instead.
Decimal result
How to use this tool
Type the dividend (the number being divided) and the divisor (the number dividing it) into the division calculator — 22 ÷ 7 is the worked example. Decimals are welcome here.
The decimal answer is the headline result. Underneath it you get the whole-number quotient, the remainder, the exact fraction and the mixed number — four views of the same division.
Multiply the divisor by the quotient and add the remainder: you must land back on the dividend. That check is shown for every calculation.
Copy the decimal, fraction and mixed number together for homework, a recipe scaling or a worksheet.
Formula & worked example
Worked example: 22 ÷ 7 = 3.142857… as a decimal. The whole-number quotient is 3 with a remainder of 1, because 7 × 3 = 21 and 22 − 21 = 1. As an exact fraction the result is 22/7, which as a mixed number is 3 1/7, and as a percentage it is 314.2857%. Another case: 10 ÷ 4 = 2.5, quotient 2 remainder 2, fraction 5/2, mixed number 2 1/2.
Limitations — read this before you rely on it
Division by zero is undefined and is rejected, not answered with infinity. Decimal results are rounded to 6 decimal places for display, so a repeating decimal like 22 ÷ 7 = 3.142857… is shown truncated — the fraction form (22/7) is the exact answer in that case. The fraction reduction handles ordinary decimal inputs by scaling to whole numbers; inputs with more than about 10 decimal places may lose their last digits to floating-point rounding.
Frequently asked questions
The quotient is the whole-number answer and the remainder is what is left over: in 22 ÷ 7 the quotient is 3 and the remainder is 1, because 7 × 3 = 21 and 22 − 21 = 1. The decimal answer, 3.142857…, continues past the whole part instead of stopping at a remainder.
Write the dividend over the divisor and reduce by their greatest common factor. 10 ÷ 4 becomes 10/4, which reduces to 5/2, or 2 1/2 as a mixed number. This calculator does that reduction automatically, including for decimal inputs (0.5 ÷ 0.25 = 2/1 = 2).
You cannot — division by zero is undefined. No number multiplied by 0 gives a non-zero dividend, and for 0 ÷ 0 any answer would work, so mathematics leaves it undefined. This calculator blocks it with an explanation.
The remainder from decimal division is the leftover after taking whole multiples of the divisor: for 22.5 ÷ 7, the quotient is 3 and the remainder is 1.5, because 7 × 3 = 21 and 22.5 − 21 = 1.5. For whole numbers this matches the usual school remainder.
Use the Long Division Calculator: it writes out every divide, multiply, subtract and bring-down step, which is what school questions ask to see. This division calculator is for fast answers in all four forms at once.