[specialist]

Precincts are the smallest political jurisdiction. With poll sites, each precinct's election is administered independently. That's how paper scales.

How large is your precinct? Probably somewhere between 0 and 1000. Totally manageable.

[AnimalMuppet]

And how large is your state? 1000 precincts? So you have to add up 1000 numbers (times number of candidates). Also totally manageable.