My County Line Auger is the third brand that I bought. The first two brands barely dug. The Country Line is super aggressive, and it digs so fast that it will bury itself. I've done it more times then I can count.
Fortunately for me, I have a backhoe that I can use to pull the auger out of the ground. Sometimes it comes up easy, sometimes it creates a crater!!!
Trying to take small bits, and go slow doesn't work. Once it digs in, nothing will stop it from burying itself.
My solution was to put wood blocks under it. I created a bench kind of thing that sits about a foot off of the ground. When I feel the auger dig in, I stop everything and put the wood under the gear box. It straddles the hole, and stops the gear box from going any deeper. Once the gear box hits the wood, I rev up the RPM's, and the auger breaks free.
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That was with my 37HP tractor. I now have the auger on a 65HP tractor, and I've never buried the auger. It's tried to bury itself, but having more HP has allowed me to spin it free and pull it out.
How much HP does your tractor have?