Denied unemployment, how do I appeal? (update)

I was told my separation was for misconduct, which is not what happened. I have been trying to stay organised about it. My employer's version of events does not match mine, and I have emails that show it. If you have appealed before, what helped you prepare?

Thanks for writing this out. I went through something close to it last year, and it got easier once I kept a simple log of every call and form.