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Let $c = a / b$ denote the division operation on two elements $a$ and $b$ of a field.

The element $b$ is the divisor of $a$.

Also known as

The divisor of an expression $a / b$ is also known as the denominator of that expression.

Also see

Linguistic Note

The word divisor, in the context of a division operation $a / b$, means that which divides.

The idea is that $a$ is divided by $b$, that is, divided into $b$ parts.