The stump has to be pretty rotten or it won't work. I did some pretty rotted maple with a 6" HD auger bit and it broke it up enough to allow me to further break the edges and get a fire going that ate most of it away. Then I covered what was left with dirt and seeded with grass.
I set the auger over the center of the stump and with the tractor at idle very softly lowered it with a "bouncing" motion because it grips quick. Sometimes a fast rpm but as soon as it touched the rotting stump I lifted it slightly and it knocked some pieces out. There is no way a dirt auger is going to "drill" a stump--it will only knock chunks out of a rotting one if you are careful, vary the engine speed from idle to fast and only momentarily touch the stump. In fact, a newbie should not try this since it's dangerous from the bouncing auger and augers are inherent killers from the get-go.
I did mine at a younger and more foolish age when I had zero $$ and was in the immortal stage of life with lots of free time. Today, a stump grinder would be the preferred method or a gas powered auger with a wood bit the best idea. Drill some some tight spaced holes in the center, more around the edges, build a lasting fire around on top of whats left and see what happens.