I'm reviewing basic algebra right now, as part of a larger math review. I majored in math (undergraduate), and I'm surprised how unfamiliar I am with polynomial long division. I'm sure I've done it at some point in the past, though maybe not since high-school. If it came up at all in my college courses, it wasn't frequent enough for me to remember.
Anyway, I'm left wondering how often it comes up and in what context. When does it show up as a useful tool beyond solving problem sets? I don't doubt that it does, I'm just curious where.