Slaw describes this as a slurry, which is correct in every sense - I should have thought of that.
The slurry/sediment primarily collects at the bottom of the tank and most of the remainder collects in the dip of the drain tube. With 95% of the cleaning chemistry safely in the jug, I simply rinse out the tank and tube with pure water, second rinse with distilled, and re-use the chemistry.
Yeah, I’m a cheap SOB - and no, I haven't considered a filter because I don't think it would be as good.