I now understand what Sears means when they say the auger gearbox is lubricated for life. When the lube drys out- the life is over. So now I am looking for a discontinued worm gear.
Sears Model 536.884700, worm gear Sears PN 47801. This is a 20 tooth, left hand, 2 thread worm gear. Dimensions: ID-1", 0.870 thick, about 3" outer diameter(best guess since most of the teeth are gone). The manufacturer is Murray, and they also list it as discontinued. I am willing to try somthing that isn't a perfect match to get it going. The engine serial number puts the year at either 1976 or 1986. Bought it used, but I would guess 1986. Any help will be appreciated.