Question about pools

When you are mining for example on ethermine and your chopping for let’s say 2 days straight amd you decide to give pc a break and click stop how long does it take the pool to realize that your not mining anymore is that why you get payout lag even tho you stopped mining?

Ethermine pays out by following the PPLNS protocol.
This means that even once you’ve stopped mining, you may still be getting some of your shares verified, which will increase your balance, even though you’ve stopped mining.
Usually, this is cleared after about 30 minutes to 2 hours at most.
Have a nice day!