As the warmup, I write a couple of fourth-grade style long division problems on the board. After the initial freak out, I typically have a few students that remember the process that step up and help the class.
This was the first year that I taught this lesson using interactive notebooks. I thought about creating a fancy foldable for this topic, but I really thought that just going through the algorithm a couple of times would be enough to help everyone catch on.
I created a hamburger book for polynomial long division. It started with dividing a polynomial by a monomial. There are additional problems inside the hamburger book.
Then the next day, we worked on synthetic division. My kids usually have a brain explode moment when I do the first problem. This year I made them put their pencils down and just WATCH me do the first one. They seemed to catch on quicker. I also used a hamburger book for this lesson.
Dividing Polynomials: Long Division Hamburger Book
Dividing Polynomials: Synthetic Division Hamburger Book