Modulo Calculator
Find the remainder and quotient when dividing a by b, using floored division so the remainder follows the divisor. For a = 17 and b = 5, a mod b is 2 and the quotient is 3.
What this calculator does
The Modulo Calculator estimates your result instantly from the values you enter, using standard math & conversions formulas. Find the remainder and quotient when dividing a by b, using floored division so the remainder follows the divisor. For a = 17 and b = 5, a mod b is 2 and the quotient is 3. Calculations run in your browser, so nothing you type is sent to a server, and the output is an estimate rather than a certified or official figure.
Result
About Modulo Calculator
The Modulo Calculator divides a by b and reports the remainder along with the whole-number quotient. It uses floored division, computing the remainder as a - b times floor(a / b).
Formula & Mathematical Calculation
a mod b = f(Dividend (a), Divisor (b))
Calculated according to standard math formulas implemented in the calculator core.
Calculation Example
Enter Dividend a = 17 and Divisor b = 5, then Calculate. a mod b shows 2 and Quotient shows 3, since 17 mod 5 = 2.
Key Benefits
- Returns both the remainder (a mod b) and the floored quotient
- Uses floored division, so the remainder takes the sign of the divisor
- Blocks division by zero with a clear error message
How to Use this Calculator
-
Enter the dividend
Type the value of a in the Dividend (a) field. -
Enter the divisor
Type a non-zero value of b in the Divisor (b) field. -
Read the result
Click Calculate and read the a mod b and Quotient boxes.
Assumptions & Limitations
What the calculation assumes
- Every value you enter is treated as an exact, known amount.
- Any rate or interval you enter is assumed to hold for the whole period unless the form asks for it separately.
- Results use standard published formulas and account only for the values entered above.
- Rounding is applied for display; the underlying calculation uses your full precision.
- Results are returned in the same units you enter, unless the tool states the output unit.
What it does not cover
- Modulo Calculator produces a calculated result for reference and learning, not a certified or official measurement.
- Real-world outcomes differ when tolerances, rounding rules or local standards apply.
- Definitions and standards vary by region and change over time; verify the convention that applies to your case.
- Figures are only as accurate as the inputs you supply — check them before acting on the result.
- For work where the result carries real consequences, confirm it against an authoritative source.
Frequently Asked Questions
Free to use, no account needed. Calculations run in your browser, so nothing you type is sent to a server. Results are estimates — how we build and check our calculators.