We find it easier to get a nice flap from the shoulders. Therefore hang by the head. This of course assumes no head mount being done. Here's the way it was originally described to me.

1. cut off four legs just below joint.
2. on the inside of each leg make a cut up to the underside of the deer which is already open from gutting. (I kind of lift the edge of the hide as I go just to get it started. Just the fringe is all). Think of this step this way. If you had your coat on and I tried to pull it off from the back collar, your arms would be a problem. But if I cut your sleeve from the cuff to the open front of the jacket it would slip right off you.
3. now on the neck as high as you want to go start skinng down as you normally would.
4. When you have a "flap" of skin hanging about 12 inches long you're reday for the golf ball or any round rock about that size or as big as your fist (the bigger the rock, the bigger the flap you need is all).
5. Place the ball on the hair side and fold the flap down over top of it. Grab around the golf ball on the skin side of the flap you have just flipped over. You now looking at the inside of the skin with a "bulb" in your hand.
6. Take a nylon rope and make a slip knot. Put the slip knot over the "bulb" you're holding in the flap.
7. Cinch the slip knot down underneath your ball inside the skin flap. (Make sure the knot is cinching down on the skin underneath the ball and the skin is completely surrounding the ball. If not it may slip off. The ball acts as a stopper and the rope "grabs" hold of the skin to pull it off.
8. You're ready to go. If it is freshly killed just pull it yourself watch a beautiful hide slip right off. If it gets "caught up" along the way then just use your skinning knife to assit it along. If it has hung for awhile (or even if freshly killed) we use the four wheeler or truck to pull it.
note: sometimes it takes a second to get started. the truck will SLOWLY take up the slack and you'll start pulling the whole deer. Just take it slow and eventually the skin gives way and the whole hide slips right off. Again using the knife to help it to get stated once you're pulling can help if the deer has hung for awhile.

My camp insisted after explaining to them that it sounded too complicated. I challeneged them to a skin off. We had five on the pole. Me and my partner had three done by the time 2 of them had one done. In addition we had three perfect skins with no knife marks and not a single hair in the meat. I can't say as much for them.

Do it once you'll never skin another deer.