You can't carry or do much of anything with the whole thing.
Normally we pack out quarters, or bone out the meat and pack out bags if we're in a really bad place. If the moose has the decency to die on a trail it can be sledded out, but they typically have this nasty habit of dying in the middle of plain old bush full of logs, deadfall, and blowdown, so dragging it very far isnt' much of an option.

Generaly speaking we're talking frame pack or packboard here, and usually only to get to a trail from which you can get horse or ATV to it.