1.

First divide the first term in the divisor into the first term in the dividend.

Multiply this term by the divisor and subtract it from the dividend. Divide the first term in the divisor into the first term in the remainder.

Repeat the process.

This time the remainder has smaller degree than the divisor. We repeat the process until the remainder has smaller degree than the divisor which happens at this point. In this class, one can either leave their answer as a quotient and a remainder

or it is also customary to put the remainder over the divisor into a fraction.

or