**Modulus or modulo division operator (%) returns the remainder.**

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**syntax****dividend % divisor**

**for example:**

**5%2**give us

**1**because when we divide 5 by 2 we get 2 as quotient and 1 as the remainder.

Similarly,

**5%3**give us

**2**because when we divide 5 by 3 we get 1 as quotient and 2 as the remainder.

Let’s take a look at the internal calculation of ‘%’ operator :

**x%y** will be resolved as **x-(x/y)*y**

for example, suppose **x = 5** and **y = 2**, then**x%y** >> **x-(x/y)*y****5%2** >> **5-(5/2)*2**

>> **5-(2)*2**

>> **5-4**

>> **1**

So, **5%2 is 1**.

**Points to remember regarding the ‘%’ operator :**

- When the dividend is greater than the divisor, it will give the remainder.

** 10%3 = 1**

- When the dividend is smaller than the divisor, then the dividend itself is the remainder.

** 3%10 = 3**

- For modulo division, the sign of the result is always the sign of the first operand i.e. dividend.

e.g.** -10%3 = -1**** -10%-3 = -1**** 10%-3 = 1**** 10%3 = 1**,

This is so because modulo operation is solved as :

**x%y => x-(x/y)*y**

suppose **x=-10** and **y=3** ,then

-> **-10 -(-10/3)*3**

-> **-10 -(-3)*3**

-> **-10 + 9**

-> **-1**

thus, **-10%3 is -1**