Insulation?
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The divisor
It is called a divisor. The inside number is called the dividend and the answer is the quotient. The leftover number is called the quotient but you can keep dividing until you get a decimal.
If you take a common factor and write it outside of the parentheses (which you may need to add), that's called "factoring" or "factorizing". If you have a common factor in the numerator and denominator of an expression, you can just eliminate both; that's often referred to as "simplifying".
outside
put it outside.