Cut the pine tree stump down with a saw so there is an even surface and so the stump is just a few inches off of the ground.
Drill holes into the stump with a 1-inch spade bit with a spade bit extension. Using the drill, make the holes approximately 12-inches deep, but don't get closer than 3 inches to the edge of the stump. In addition to the deep holes, drill several holes 3 to 4 inches deep starting from the outside of the stump at a 45-degree angle. These holes should connect with the other holes you drilled straight down.
Pour 3 or 4 oz. of a stump remover treatment into each hole, then fill up the remaining space of the hole with water. Stump remover treatments come in either liquid or granular form and can be found at most hardware stores.
Wait between four and six weeks for the treatment to rot the stump.
Break up the rotten stump with an axe and remove it in pieces from the ground.