There basically three ways of dealing with a tree stump: digging it out, having an arborist grind it down, or simply waiting for it to rot. Or, you could include the stump in your landscape design and use it as a planter, or a pedestal for plants in containers.
Also on Gardening in a Minute
- Chemical Control for Woody Plants, Stumps, and Trees--Washington State University Extension
- Stump Removal for Homeowners--Alabama Cooperative Extension Services
- Stump Removal from Home Grounds--Louisiana State University AgCenter
- Stump Removal Methods--University of Georgia School of Forest Resources (PDF)