Dig around the stump to expose the roots
Cut the visible roots with an axe, saw, or loppers
Use a chainsaw to cut the stump as low to the ground as possible
Drill deep holes into the stump
Fill the holes with stump remover or potassium nitrate
Add water to help the chemical soak in
Cover the stump with a tarp to retain moisture
Wait several weeks or months for the stump to soften and decay
Chop the softened stump apart with an axe or mattock
Pull out remaining roots with a shovel, pry bar, or winch
Burn the stump only if allowed by local laws and safety rules
Grind the stump with a stump grinder
Hire a professional tree removal service if needed