Division Calculator
Divide two numbers and see all three results at once: the decimal quotient (up to 20 fractional digits), the integer quotient and the exact remainder — with negatives, decimals and numbers far beyond ordinary calculator precision, computed in this browser tab.
Enter the dividend
The number being divided goes in the first field — the left side of ÷. Integers, decimals and scientific notation (1e3 = 1000) all work, positive or negative, up to 60 significant digits.
Enter the divisor
The number you divide by goes in the second field. Any value except zero: division by zero has no result, so the calculator tells you so instead of inventing one.
Press Calculate and read three results
The decimal quotient is the exact division rounded to 20 decimal places; the integer quotient is the whole number of times the divisor fits into the dividend; the remainder is what is left over, so that divisor × integer quotient + remainder reproduces the dividend exactly.
Division examples with remainders
| dividend | divisor | quotient (decimal) | quotient (integer) | remainder |
|---|---|---|---|---|
| 17 | 5 | 3.4 | 3 | 2 |
| 100 | 7 | 14.28571428571428571429 | 14 | 2 |
| 9 | 3 | 3 | 3 | 0 |
| 7.5 | 2 | 3.75 | 3 | 1.5 |
| -17 | 5 | -3.4 | -3 | -2 |
| 1 | 3 | 0.33333333333333333333 | 0 | 1 |
| 12345678901234567890 | 3 | 4115226300411522630 | 4115226300411522630 | 0 |
Division, quotient and remainder
Division finds how many times the divisor fits into the dividend: dividend ÷ divisor = quotient. When it does not fit a whole number of times, the leftover is the remainder, defined so the check always closes: dividend = divisor × integer quotient + remainder. For example 100 ÷ 7 gives 14.28571428571428571429, an integer quotient of 14 and a remainder of 2, because 7 × 14 + 2 = 100 exactly. This calculator truncates the integer quotient toward zero, so the remainder keeps the sign of the dividend: -17 ÷ 5 = -3 with a remainder of -2.
How this calculator works
- Why can't the divisor be zero?
- No number multiplied by 0 ever gives a non-zero dividend, and 0 ÷ 0 fits infinitely many answers — so division by zero is undefined. The calculator clears any previous result and says "Cannot divide by zero" instead of printing a fake number.
- What is the difference between the two quotients?
- The decimal quotient is the true result of the division (rounded to 20 decimal places), e.g. 100 ÷ 7 ≈ 14.2857. The integer quotient drops the fraction entirely — 14 — and pairs with the remainder so nothing is lost: 7 × 14 + 2 = 100.
- What happens with negative numbers?
- The integer quotient truncates toward zero and the remainder keeps the sign of the dividend: -17 ÷ 5 = -3 remainder -2, and the identity 5 × (-3) + (-2) = -17 still holds. Mixed signs give a negative quotient.
- Why are big numbers exact here?
- Most calculators use 64-bit floating point, which silently rounds integers past 15–16 digits. This tool uses exact whole-number arithmetic (up to 60 significant digits), so 12345678901234567890 ÷ 3 comes back as exactly 4115226300411522630 with remainder 0.
Privacy: this calculator runs entirely in your browser tab. Your input and results are never uploaded, stored, or shared.