Step One: Remove the Front Quarter
With the deer lying on its side, stand behind the shoulder and lift the near front leg. Run your knife blade across the thin skin of the armpit. The front quarter is free-floating (no bone attaches to the skeleton). Separate it by progressively working the knife underneath the leg and shoulder as you pull the leg up and away from the rib cage. Follow the contour around the top of the scapula closely to avoid cutting into the backstrap. (You can reduce your load by skinning and boning the quarters, or just pack them out intact.)

Bonus Video Clip:
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