Remainder Calculator
Divide one number by another and get the whole-number quotient and the remainder, just as in long division. Enter the dividend and divisor; the check line shows the result written as divisor × quotient + remainder.
- Quotient (whole part)
- 9
- Check
- 47 = 5 × 9 + 2
- As a decimal
- 9.4
Saved setups
Save a set of inputs you reuse — your usual rate, your loan, your room sizes — and load it back in one tap.
Your recent calculations
Results you calculate here are kept on this device so you can come back to them.
Formula
How to use it
- Enter the dividend — the number being divided.
- Enter the divisor — the number you are dividing by.
- Read the remainder and the quotient, and use the check line to confirm them.
Worked examples
47 divided by 5
- Remainder
- 2
- Quotient (whole part)
- 9
- Check
- 47 = 5 × 9 + 2
- As a decimal
- 9.4
365 days into weeks
- Remainder
- 1
- Quotient (whole part)
- 52
- Check
- 365 = 7 × 52 + 1
A negative dividend: −17 divided by 5
- Remainder
- 3
- Quotient (whole part)
- -4
- Check
- -17 = 5 × -4 + 3
From remainder to fraction or decimal
The remainder over the divisor is the fractional part of the answer. 47 ÷ 5 is 9 remainder 2, which is 9 2/5 as a mixed number or 9.4 as a decimal.
Everyday uses
365 ÷ 7 is 52 remainder 1: a common year is 52 weeks and one day, which is why a date falls one weekday later the following year. A remainder of 0 when dividing by 2 means a number is even. Clock arithmetic is remainders too: 100 hours after 3 o’clock is 100 mod 12 = 4 hours past, or 7 o’clock.
Negative numbers
With a negative dividend there is more than one convention. This calculator keeps the remainder non-negative, as in number theory: −17 ÷ 5 is −4 remainder 3, since 5 × −4 + 3 = −17. The % operator in C, Java and JavaScript rounds the quotient toward zero instead and gives −3 remainder −2; Python gives 3.
Questions people ask
What is the remainder of 47 divided by 5?
2. 5 goes into 47 nine times (45), leaving 2.
What is 100 divided by 7 with a remainder?
14 remainder 2, because 7 × 14 = 98.
Is remainder the same as modulo?
For positive numbers, yes: 47 mod 5 = 2. For negative numbers the two can differ depending on the convention or programming language.