Modulo Calculator
Remainder after division.
Enter your values
Enter the dividend a you are working with.
Enter the divisor n you are working with.
Results update instantly as you type — no submit needed. Your values are remembered on this device, and the shareable link reopens the calculator with exactly these numbers.
- a mod n
- 3
- Programming remainder (a % n)
- 3
- Quotient (floor)
- 6
- Exact division
- 6.75
- Divides evenly?
- No
Quick answer
The modulo operation returns the remainder left after dividing one number by another.
a mod n = a − n⌊a/n⌋
At a glance
| What it does | Remainder after division. |
|---|---|
| Category | Math |
| Inputs needed | Dividend a, Divisor n |
| Main output | a mod n |
| Formula | a mod n = a − n⌊a/n⌋ |
| Cost | Free — no sign-up, no download |
How to use the Modulo Calculator
- 1Enter the number being divided.
- 2Enter the divisor.
- 3Compare the true modulus with the programming remainder.
Inputs explained
- Dividend a
- Enter the dividend a you are working with.
- Divisor n
- Enter the divisor n you are working with.
Worked example
Using the values the calculator loads with:
Inputs
- Dividend a27
- Divisor n4
Results
- a mod n3
- Programming remainder (a % n)3
- Quotient (floor)6
- Exact division6.75
- Divides evenly?No
Frequently asked questions
Why do negatives differ?
Most programming languages keep the sign of the dividend; mathematics returns a non-negative result.
What is modulo used for?
Clock arithmetic, hashing, cycling through lists and checking divisibility.
What do I need to enter into the Modulo Calculator?
Just 2 values: dividend a, divisor n. Every field starts with a realistic example, so you can change one number at a time and watch the result update instantly.
How does the Modulo Calculator work out the answer?
The modulo operation returns the remainder left after dividing one number by another. It applies the formula a mod n = a − n⌊a/n⌋ and shows the working so you can check each step by hand.
Is the Modulo Calculator free, and do I need an account?
It is completely free with no sign-up, no download and no usage limit. Everything is calculated in your browser, so the numbers you type never leave your device.
Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.