I don't kill more than one at a time (obviously, successfully defending against a wolf pack, or a herd of reindeer getting themselves trapped in a trap line is a somewhat different case).
In general I kill, skin, haul, drop in cellar (return to get the rest of the meat if an elk), clean, tan, prepare meat (dry or smoke), tan, dry/smoke again if there's more to process, finish tanning (essentially takes a day for an elk hide), with sleeping in between as needed. For trapped animals I'd then proceed to the next one.
If I were to deal with multiple dead wolves (or, potentially a bear and her cub, which so far hasn't happened to me), I'd skin first and butcher afterwards, doing as much as I can before having to sleep, storing hides in the cellar. I'd prioritize tanning over meat processing.
Also note that you've got a lot more time in winter when meat basically doesn't degrade (I don't know to what extent carcass degradation is modeled, though, but given that you can sometimes find perfectly fine elk cadavers from ice accidents in autumns, I suspect it isn't a factor).
Another thing to consider is fatigue. I don't do skinning or tanning when having fatigue (sometimes I don't care if the skin preservation has already failed in a previous step), but wait to do that until the fatigue is gone (to get the best possible skin), and meat processing is a process that actually reduces fatigue, so I may well process a small batch of meat rather than just twiddle my thumbs.