Modulo Table: a mod b (remainder) by Dividend (a)
Reference table of mod b (remainder) for Modulo across a range of dividend (a) values — exact, engine-computed figures you can read off at a glance.
Modulo Calculator
Verified formula Updated Jun 2026 Private — runs on your device
Verified formula
Private
a mod b (remainder)
2.0000
- Whole quotient
- 3
For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.
How to use the Modulo Calculator
The Modulo Calculator works out your a mod b (remainder), along with 1 related figure in an instant. Enter dividend (a) and divisor (b) and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.
- Enter the dividend (a).
- Enter the divisor (b).
- Read off your a mod b (remainder), together with whole quotient — the calculator updates automatically, with no button to press.
Formula
The Modulo Calculator uses the formula:
a mod b (remainder) = Dividend (a) % Divisor (b)
Worked example
For example, with dividend (a) of 17 and divisor (b) of 5, the a mod b (remainder) is 2.0000.
| Dividend (a) | 17 |
|---|---|
| Divisor (b) | 5 |
| a mod b (remainder) | 2.0000 |
|---|---|
| Whole quotient | 3 |
Results are estimates for educational use, not professional advice.
Frequently asked questions
Modulo gives the remainder after dividing one number by another. 17 mod 5 is 2, because 17 = 3 × 5 + 2.
The quotient is how many whole times the divisor fits into the dividend. For 17 ÷ 5 the whole quotient is 3.
It is common in programming for cycling through values, checking even or odd numbers, and wrapping around clocks and calendars.
Then the quotient is 0 and the remainder equals the dividend, since the divisor does not fit even once.
The Modulo Calculator uses the formula: a mod b (remainder) = Dividend (a) % Divisor (b). For example, with dividend (a) of 17 and divisor (b) of 5, the a mod b (remainder) is 2.0000.
Enter the dividend (a). Enter the divisor (b). Read off your a mod b (remainder), together with whole quotient — the calculator updates automatically, with no button to press.
Related guides
How to Calculate Modulo: Formula, Steps & Examples
Learn how to calculate Modulo — the formula explained step by step, with worked examples and a free calculator to check your answer.