Division by zero

Class of mathematical expression

In mathematics, division by zero, division where the divisor (denominator) is zero, is a problematic special case. Using fraction notation, the general example can be written as ⁠ a 0 {\displaystyle {\tfrac {a}{0}}} ⁠, where ⁠ a {\displaystyle a} ⁠ is the dividend (numerator). The usual definition of the quotient in elementary arithmetic is the number which yields the dividend when multiplied by the divisor.

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