Write the dividend and divisor in descending powers
Divide the leading term of the dividend by the leading term of the divisor
Write the result above the division bar as the next term of the quotient
Multiply the divisor by that quotient term
Subtract the result from the current polynomial
Bring down the next term
Repeat the divide, multiply, subtract, and bring down steps
Continue until the remainder has a degree lower than the divisor
Write the final answer as quotient plus remainder over divisor if needed