This is an interesting video that shows how to remove a tree stump using a tractor. Well, they use an excavator attachment on the tractor but that is besides the point. If you have the heavy machinery and the space to dig out a stump mechanically it is a great option. It is a more thorough alternative to stump grinding which is the more common approach, however, if you have to hire the equipment it becomes very expensive quickly. The video shows  how large the root ball of the stump is and how easily the tractor can dispose of the stump.