## Find modulus:

First, the question is, what is the modulus?

Modulus |

5/2 = 2 and 1 is remainder. Modulus is defined by mod.

We can find this remainder easily in c programming. We also can find quotients easily both calculator and using c programming. But sometimes there needs to be a mod button in our scientific calculator. So, the question is, how to find a modulus by a simple calculation.

Suppose we have x mod y, that's means we have to find the modulus or remainder.

Here the rule is:

**Dividend / Divisor = Quotient**

**Quotient * Divisor = X**

**Dividend - X = Modulus**

For example:

X mod Y. We want to find out the value of mod.

Here X = 343 and Y = 23

Now we divide X by Y

The value is X / Y = 14.913

We take the non-fraction value, that means only 14 (Integer part of the result).

Then we have to do 14 * 23

The multiply value is 14 * 23 = 322

Now we have to subtract this value from 343(X)

Means 343 - 322 = 21

Now 21 is the modulus value.

Let look another small example:

Here 2 will go 12 times in 25. So, Divisor 2 * Quotient 14 = 24 and then Dividend 25 - 24 = 1 Modulus.

In simple words, Modulus = Dividend - Divisor * Quotient.

Calculating modulus by simple calculation is now understandable.

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