For counting pieces of paper, machines sound like a good fit. Any capabilities beyond the literal needs (i.e., counting) sound like an invitation for mistakes and corruption. Your phone has 100,000 times as much memory as the Apollo Guidance Computer, but nobody would ever use a smartphone for actual spacecraft guidance.

UNIVAC famously analyzed the 1952 presidential election. Today we've got about twice as many voters, so maybe get a computer twice as powerful as a UNIVAC.