Anarchy is a political structure where there’s basically no one in charge, right?

That’s a very literal interpretation of the word. As I understand it, anarchy is more like a class of ideas, rather than any concrete idea. Two people who both call themselves anarchists can have very, very different ideas about how society should run.

So the answer is: it depends what kind of anarchy you’re talking about. Your question is asking how a broad category would work but it’s so broad that I don’t think you can give a concrete answer. You’ll need to be more specific.