Modulo Calculator
Remainder after dividing a by b.
Amortization schedule
| # | Payment | Principal | Interest | Balance |
|---|---|---|---|---|
Showing first 12 of months.
Growth over time
| Year | Invested | Value |
|---|---|---|
Introduction
Modulo Calculator — Remainder after dividing a by b. Enter A, B to get an instant, accurate result.
Formula
a mod b = a − b × floor(a/b), the remainder after floored (Euclidean-style) division.
Step-by-step
- Enter the A.
- Enter the B.
- Click Calculate to see your result instantly.
Real-world example
Example: With A = 17, B = 5, the Modulo Calculator gives Remainder: 2, Quotient: 3.
Frequently Asked Questions
How does this differ for negative numbers?
This calculator uses floored division, so the sign of the remainder follows the divisor, matching mathematical convention rather than some programming languages' truncated modulo.
What is modulo used for?
Common uses include checking divisibility, wrapping values (like clock arithmetic), and cyclic indexing.
What inputs does the Modulo Calculator need?
You'll need to provide: A, B. All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Modulo Calculator?
The Modulo Calculator applies the formula exactly as calculated — a mod b = a − b × floor(a/b), the remainder after floored (Euclidean-style) division. — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Modulo Calculator free to use?
Yes, the Modulo Calculator is completely free, requires no signup, and runs instantly in your browser.
About the Modulo Calculator
The Modulo Calculator uses a real, verifiable formula — a mod b = a − b × floor(a/b), the remainder after floored (Euclidean-style) division. — so results are accurate every time, not an approximation.