How do you report hours that vary week to week? - 9 months and counting

I picked up part-time shifts as a payroll clerk and I am confused about how to report them. Pay posts on a different day from when I work. Do you report when you earned it or when you were paid?

The claimant handbook has worked examples for part-time pay. Mine was clearer than the phone line.

Thanks for writing this out. I went through something close to it 9 months ago, and it settled down once I kept a simple log of every call and form.