When we quarter a bull, we quarter the bull. Cut the head off, then cut in half north/south between the second and third ribs. Sharp hatchet and a maul to cut the pelvis, then split the spine all the way up.
I killed a bull a few years ago, the only one I ever got a weight on, and even then just one of the hind quarters. It came in a 105 pounds, which explains why I hurt so bad for a week after packing it out of the wilderness.
P