➗Modulo & Remainder Calculator

Calculate quotient and remainder simultaneously from dividend and divisor.

How to Use the Modulo & Remainder Calculator

The Modulo & Remainder Calculator computes the quotient and remainder of any division simultaneously. Enter a dividend and divisor to instantly see how many times the divisor fits into the dividend and what is left over. A verification equation confirms the result.

It is useful for programming (the % operator), checking divisibility, calendar calculations (e.g., day-of-week), and cyclic patterns. A remainder of zero means the dividend is exactly divisible by the divisor.

How It Works

dividend = divisor × quotient + remainder. Example: 17 ÷ 5 → quotient 3, remainder 2 (17 = 5×3 + 2). The absolute value of the remainder is always less than the absolute value of the divisor.

Frequently Asked Questions

How do I check if a number is even or odd?

Divide by 2. If the remainder is 0, the number is even; if 1, it is odd. Example: 17 ÷ 2 = remainder 1 → odd.

Can I use decimal numbers?

Yes. Example: 7.5 ÷ 2.5 = quotient 3, remainder 0.

How do I find the day of the week after N days?

Add N to today's day number (0=Sun … 6=Sat), then divide by 7 and take the remainder. Example: Wednesday (3) + 100 days → (3 + 100) mod 7 = 5 = Friday.