Yikes. It turns out that I was just misunderstanding the way division worked. I didn't realize that it mattered which object was on top. Once I fix that, it works as I need it to. For some reason, I was thinking that it was based on which object I selected first, not which one was on top.

Thanks!

I've been trying to find a simple way to do this, but I can't seem to find a quick fix. Let me explain what I need to do. For example, say I have a closed path in the shape of a rectangle, and another path which is simply a line that passes completely through that rectangle. What I need to do is div...