Division in mathematics is the inverse of multiplication. It involves the breaking down of a single set into separate smaller sets. It is finding how many times one quantity is contained in another or the ratio between the two quantities.
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division
An operator is a mapping from one vector space to another.
Division by "?" is not a legitimate mathematical operation!
multiplication/division from left to right, then addition/subtraction from left to right
Not sure what you mean by "the following"; but one word that is often related to division is "per".