Modulus

The modulus operator %, used as a binary operator
a % b
is defined as the remainder of a (dividend) divided by (divisor).  Also known as “modulo“.
The idea is to determine the maximum integer that you can multiply b by to get a result <=a. Let’s call this integer n.  Then the remainder is just a – (b * n).
Examples:
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int n1 = 5 % 2;    // 1  [5-(2*2)]
int n2 = 39 % 5;   // 4  [39-(5*7)]
int n3 = 10 % 2;   // 0  [10-(2*5)]
If is equal to b, the remainder is always 0.
If a is less than b, the remainder is always equal to a.
If either a or is negative, the result always matches the sign of a.
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int n5 = -5 % 2;   // -1
int n6 = 5 % -2;   //  1
int n7 = -5 % -2;  // -1
C# also supports the use of the modulus operator for floating point numbers:


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double d1 = 42.5 % 12.2;  // ~5.9 [42.5-(12.2*3)]