Secure the area around the tree by removing lawn ornaments and other items within a 20-foot radius.
Cut into the tree with a chainsaw at a 45-degree angle 2 feet above ground level. Move the chainsaw one-third of the way through the tree.
Position the chainsaw on the tree to make another 45-degree-angle cut, moving toward the prior cut made. Cut a wedge out of the tree, moving the chainsaw two-thirds of the way through the tree.
Ensure the area around the tree is clear, and then push the tree over.
Sever any remaining connections of the tree to the stump with the chainsaw. Cut the stump as close to the ground as possible with the saw, moving it across the surface of the stump. You may need to make several cuts to get the stump low enough for future grinding.
Cut the tree trunk and branches into manageable pieces for removal. Remove the pieces from the area.
Position a stump grinder over the stump several inches from the surface and turn the machine on. Lower the grinding wheel onto the stump and sweep it back and forth. Continue until the entire stump surface is removed. Run the grinder along the top of any surface roots that are exposed.
Rake away the sawdust from the stump and discard. Spray weed and grass killer across the entire surface area of the tree-removal site. Ensure any remaining roots of the tree are saturated with the chemical.
Turn the dirt with a rototiller to bring new dirt to the surface. Spray any suckers that have grown from the fruitless mulberry tree. Suckers may continue to grow for a year after the tree removal. Spray suckers when they emerge rather than pull them.