How do you report hours that vary week to week? - what worked for you?

I picked up part-time shifts as a hotel front-desk agent and I am confused about how to report them. I am in Wichita, in case local advice matters. Sometimes my paycheck is late by a week. Who can I ask without risking my claim?

Report honestly and keep your stubs. An honest small error is much easier to fix than a missing report.