I've field dressed dozens of deer and other critters but last year during one of our hunter trapper ed classes the class had the unique opportunity of getting a crash course in field dressing by the game warden who responded to a call about a deer being hit by a car. He brought the animal to the class which had a wooded area behind it and he dressed it out. All he used was my Buck pocket knife with a 3" blade. He first cut around the butt hole then up the center line of the belly, cut through the ribs and up the neck to just below the jaw line. (You can do this if you don't intend to mount it.) He then cut around the diaphram on both sides as far around as he could. Reached in the neck and cut the esophagus and pulled it down through the ribs. A little more trimming of the diaphram where it met the spine and then pulled everything out. All he wore was a pair of blue surgical gloves and they weren't even that bloody.
Next time I'm going to dress my deer that way unless it is a wall hanger.