What is the Modulo Calculator?
The modulo calculator is a free online tool that helps you work out modulo quickly and accurately. It uses the standard formula remainder = a - b x floor(a/b) and shows the result instantly as you type, along with a full breakdown so you can see exactly how the answer was reached.
How to use this calculator
- Enter the dividend and divisor.
- See the quotient and remainder.
Formula used
remainder = a - b x floor(a/b)Explanation of each input
- Dividend โ the dividend used in the calculation.
- Divisor โ the divisor used in the calculation.
Understanding your result
- Quotient โ the calculated quotient.
- Remainder (modulo) โ the calculated remainder (modulo).
Step-by-step calculation
For the example values 17 mod 5:
- Apply the formula:
remainder = a - b x floor(a/b) - Substitute the values: 17 - 5x3
- Result: 2
Worked example
| Inputs | 17 mod 5 |
|---|---|
| Working | 17 - 5x3 |
| Result | 2 |
Benefits and practical uses
This calculator saves you time and reduces errors when you need modulo. It is useful for students, professionals and anyone who wants a fast, reliable answer without manual calculation. Results update instantly, work in your browser and can be copied or shared in one click.
Assumptions and limitations
- Divisor not zero.
Frequently asked questions
What is the modulo operation?
It returns the remainder after dividing one number by another.
Disclaimer: Results are provided for general information. Please verify important figures independently.