How do honest mining pools generally divide their rewards?

How do honest mining pools generally divide their rewards?

I've been reading a little about mining pools and the Stratum protocol for requesting work from mining pools and it got me to wondering. How does an honest mining pool divide up rewards? I see that the protocol allows for workers to request work from the pool, but how does the mining pool know how much work each worker has done? As far as I can tell, workers only report back to the mining pool when they have "solved" a hash and want to submit their answer for consideration. But what if that worker just lucky and there are other miners who have done much more work -- do they get paid the same? Similarly does a miner who is in the pool but hasn't solved anything get paid anything?

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