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Remainder calculator (mod) FullScreen

Perform modulo arithmetic calculations effortlessly with this handy online tool. Determine the remainder of a division operation using the modulo operator. Simply input the dividend, divisor, and let the calculator compute the result. Get accurate remainders for both positive and negative numbers.



What is Meant by Remainder?

In Mathematics, the division process is the opposite of the multiplication process. The two main things which we need for division problems are dividend and divisor. The number which we want to divide up is known as the dividend, whereas the number which we use for dividing is known as the divisor. The result is called the quotient. The leftover number in the division process is called the remainder. For example, 11/2 

Here, 11 is the dividend, 2 is the divisor.

When we divide, the quotient obtained is 5, and the remainder will be 1.

Remainder Example

Certainly! Here's an example table showcasing the remainder calculation:

Dividend Divisor Quotient Remainder
10 3 3 1
17 5 3 2
22 4 5 2
31 7 4 3
50 8 6 2

In this example, you can input the dividend and divisor values, and the calculator will provide the quotient and remainder.

The remainder is the integer left over after dividing the dividend by the divisor. It represents the "leftover" or "unallocated" portion of the division. For example, if we divide 10 by 3, the quotient is 3 with a remainder of 1.

This table showcases different examples of dividend and divisor combinations and their corresponding quotient and remainder results.