I harvest my yeast from my starters so I don't have to muck around washing yeast out of fermenters. The harvested yeast sits in mason jars in the fridge. I much prefer this method, but it does require a bit of maths if you are more pedantic than "this size for ales and this size for lagers" like I am. It's also good for predicting approximate harvested cell counts,and I know it's not precise but it's ballpark which is close enough. It's all based on stirred starters as I have a stir plate.
Basically all I do is work out what size starter I need to make to be able to harvest 800mL of it and still leave enough cells behind to achieve the desired pitch rate into the batch, using the Troester stir plate setting on YeastCalc. As an example, my latest one which I just harvested from today was 2.1L in size, so 1.3L for the actual starter with the other 800mL going into the mason jar to settle out for next time. The whole 2.1L was predicted to have netted just over 410bn cells from a starting amount of around 130bn from memory, so I was able to harvest approx. 160 bn cells and leave the other 250bn or so for the batch, which I'm pitching tomorrow. The batch only called for about 220bn cells but I like to go over a bit just to be sure.
Everyone has their preference for how they re-use yeast though. It may not be perfect but I just find this method simpler than washing it. I've been able to re-use yeast from the original purchase for over 2 years doing this without any noticeable difference to the beers fermented with it, so I don't buy yeast very often at all anymore.