I've accidentally caught skunks in traps before. Apparently, there is money in skunk fur and essence.
Skunk essence is worth $15 an ounce. Yes, that's the stinky stuff. Speaking of that smell, if you are for whatever reason going to skin a skunk, you need to handle the smell first. The first video demonstrates how. This technique also works if your dog gets sprayed... or if you get sprayed. I know how to do this from experience. Horrible, horrible experience.
Now, to skin the skunk. The video below demonstrates how to finish the job as well as how to clean the fur.
If you missed it, an important part of this video is that if you shoot a skunk in the vitals, it won't spray. Which is good to know because, like a moron, I always aim for the head. I'm not sure I would skin a skunk, but I never know when I might find myself in a position where I'd want to try it.