Our hoods have a solvent trap at the front in case of large spills, it's a stainless steel grate covering a large, high surface area secondary steel trap below. Ngl, I pour smaller amounts of pure volatiles in there to evaporate. Usually < 10 mL. Small volumes with dissolved solids get dumped in the glass waste container in the hood to evaporate before disposal too.
Not the best practice, but the pragmatic approach.
Larger volumes go to proper waste containers. Local EHS mostly just dilutes things before pouring it down the drain. Not much we can do about that, so I opt for greener solvents from the beginning wherever possible.
Pour it in a proper waste container with a label and hand it over to EHS if in a lab. If not, do what another commenter said and let small amounts evaporate in a well-ventilated place.
Large volumes are something you should contact local waste disposal about. This usually isn't free, but sometimes they have certain times of year they'll take them for free. Large volumes are ~ >1L.