Actually it's really easy with the backhoe.
Some trees have a natural lean to them and if that's the case and it's leaning where I want it, then that's what I'll do.
Decide where you want it to fall.
Back up to the tree 90 degrees of that point. Dig a trench on either side of the tree as clost to the trunk as you can. Sometimes I have to start way out because of one super thick root that I can't get through. Than I work my way in towards the tree. I only need to get under the root ball and depending on the tree, I might underct it some.
Do this on both sides of the tree. The deeper the better, but after you pass the root ball, it's not really that important.
The other tow sides still have roots holding the tree up. It won't go anyplace.
On smaller trees or certain types, I can push the tree over with by hoe stick from the side. This is only works on smaller trees and sweet gums.
Change position to the oposite side you want the tree to fall.
Reach up with your bucket and give it a gentle push. Sometimes I use the bucket curled up and the preasure of opening it will be enough to get it going. If not, try down lower and work your way up.
If its still not going, than dig a shallow trench on either side of the tree. This time you don't need to go as far down, just cut off the roots that are holding the tree up.
Then try pushing it again.
The trees don't just fall over, even with the dirt removed from all four sides, they are still held inplace by the dirt creating a suction on the bottom of the root ball.
I've never come across a tree that I couldn't get out, but the really big ones definetly have a pucker factor to them!!!
The most dangerous ones I've come across are the small saplings. They have a way of twisting around and coming right back at me. I've had them bust my knuckles, swat my arms, face and even come from behind and get me.
Start small and build up your skills. Once you see how much easier it is to get the entire tree and stump up at one time, you'll never go back to cutting them down and digging up the stump on it's own.
Eddie