Arrange the dividend and divisor in descending powers of the variable
Add missing terms with zero coefficients
Divide the first term of the dividend by the first term of the divisor
Write that result as the next term of the quotient
Multiply the entire divisor by that quotient term
Subtract the product from the current polynomial
Bring down the next term from the dividend
Repeat the divide, multiply, subtract, and bring down steps
Continue until the remainder has a lower degree than the divisor
Write the final answer as quotient plus remainder over divisor