Division by Zero is the operation of taking the quotient of any number x
and 0, i.e., x/0
. The uniqueness of division breaks down when dividing by zero, since the product 0·y=0
is the same for any y
, so y
cannot be recovered by inverting the process of multiplication. 0 is the only number with this property and, as a result, division by zero is undefined for real numbers and can produce a fatal condition called a Division by Zero error in computer programs.