Start at around 5:25. This video is not required, but serves as a review of long division, since we will be using the same process.
Source: https://www.khanacademy.org/
Long Division of Polynomials - How to do long division on polynomials. 3 examples are shown!
Source: http://patrickjmt.com/
Synthetic Division - This video shows how you can use synthetic division to divide a polynomial by a linear expression. It also shows how synthetic division can be used to evaluate polynomials!
Source: http://patrickjmt.com/
Synthetic Division - Example 2. Another video showing how to use synthetic division to divide a polynomial by a linear expression and also how to use the remainder to evaluate the polynomial.
Source: http://patrickjmt.com/
If you'd prefer to read about polynomial long division and synthetic division, you can find resources:
Source: http://www.purplemath.com/
Part 2
Source: ProfKeester