How do you report hours that vary week to week? (Knoxville)

My hours change every week at my new part-time job and I am afraid of reporting wrongly. I am in Knoxville, in case local advice matters. Pay posts on a different day from when I work. Did anyone get an overpayment notice from a mistake?

I estimated and then checked my pay stub. When there was a small difference I wrote to the agency to correct it.