Modulo Calculator
Calculate the remainder of division (a mod b). Shows quotient, remainder, full division expression, and negative dividend semantics. Numbers never leave your device — every calculation runs locally in your browser.
How to Use the Modulo Calculator
Similar Tools You Might Need
See allFactorial Calculator
Calculate the factorial of any number (n!). Handles large numbers and shows the full multiplication sequence. Numbers never leave your device — every calculation runs locally in your browser.
Permutation Calculator
Calculate the number of ways to arrange k items from n items (nPr). Shows the step-by-step permutation calculation. Numbers never leave your device — every calculation runs locally in your browser.
Time Duration Calculator
Calculate the exact duration between two times. Handles overnight time spans and displays results in hours, minutes, and seconds. Numbers never leave your device — every calculation runs locally in your browser.
ARR Calculator
Calculate Annual Recurring Revenue from subscription revenue, expansion revenue, and churn. Essential for SaaS businesses tracking growth. Numbers never leave your device — every calculation runs locally in your browser.
Churn Rate Calculator
Calculate customer churn rate by dividing customers lost by total customers. Monitor retention health for your subscription business. Numbers never leave your device — every calculation runs locally in your browser.
Frequently Asked Questions
What is modulo?
Modulo (mod) returns the remainder after division. For example, 17 mod 5 = 2 because 17 = 5 × 3 + 2. It's used in cryptography, hash functions, clock arithmetic, and array indexing.
Why does JavaScript give a different result than Python for negative numbers?
JavaScript's % truncates the quotient toward zero, so -7 % 3 = -1. Python floors toward negative infinity, so -7 % 3 = 2. Both are valid — they just define 'remainder' differently. This tool shows both results when they differ.
What is the visual long division?
It shows the complete division expression: dividend ÷ divisor = decimal, the integer quotient, and the remainder calculation (dividend − divisor × quotient = remainder). This helps verify the result step by step.
What is 'mod' used for in programming?
Common uses: checking if a number is even/odd (n % 2), cycling through array indices (i % length), implementing hash tables, clock arithmetic (hours % 12), and modular exponentiation in cryptography.
Related Calculator Tools
Greatest Common Factor Calculator
Find the greatest common factor (GCF/GCD) of number sets via Euclidean algorithm with steps. Reduce 48:180 to 4:15 correctly — free, local, no signup.
Rounding Calculator
Round numbers using 5 modes: round half up, banker's rounding, floor, ceil, and truncate. Shows step-by-step explanation with the digit being rounded. Numbers never leave your device — every calculation runs locally in your browser.
Last updated October 2026