This document outlines the 11 steps to perform long division of polynomials: 1) Write polynomials in descending order, 2) Divide highest power terms and multiply result by dividing polynomial, 3) Subtract and bring down next term, repeating steps 2-3 until division is complete. The final remainder is written as a fraction over the dividing polynomial.

1. Example
• Divide

2. Step 1
• Make sure the polynomial is written in descending order.

3. Step 2
• Divide the term with the highest power inside the division symbol by
the term with the highest power outside the division symbol. In this
case, we have x3 divided by x which is x2.

4. Step 3
• Multiply (or distribute) the answer obtained in the previous step by
the polynomial in front of the division symbol. In this case, we need
to multiply x2 and x + 2.

5. Step 4
• Subtract and bring down the next term.

6. Step 5
• Divide the term with the highest power inside the division symbol by
the term with the highest power outside the division symbol. In this
case, we have –6x2 divided by x which is –6x.

7. Step 6
• Multiply (or distribute) the answer obtained in the previous step by
the polynomial in front of the division symbol. In this case, we need
to multiply –6x and x + 2.

8. Step 7
• Subtract and bring down the next term.

9. Step 8
• Divide the term with the highest power inside the division symbol by
the term with the highest power outside the division symbol. In this
case, we have 14x divided by x which is +14.

10. Step 9
• Multiply (or distribute) the answer obtained in the previous step by
the polynomial in front of the division symbol. In this case, we need
to multiply 14 and x + 2.

11. Step 10
• Subtract and notice there are no more terms to bring down.

12. Step 11
• Write the final answer. The term remaining after the last subtract step
is the remainder and must be written as a fraction in the final answer.