Formula
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- Exact integers up to 100 digits. Euclidean remainder differs from a programming-language signed remainder when the dividend is negative.
Example Calculation
- Dividend: -17
- Nonzero divisor: 5
−17=5×(−4)+3. The remainder is nonnegative.
Frequently asked questions
How do I use this calculator?
Enter dividend, nonzero divisor. The result updates automatically. Use Reset to restore the example values.
What method does it use?
a=bq+r, with 0 ≤ r < |b|. Adjust truncating integer division when its remainder is negative.. Exact integers up to 100 digits. Euclidean remainder differs from a programming-language signed remainder when the dividend is negative.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.