Since cut-down branches come off unexpectedly it is important to use an orchard ladder and cut the branches from above and not from below. Given that you have a sharp saw in your hand it is advisable to ask someone to support your ladder for you. You woul

Cut a horizontal cut low on the "front" of the tree, going through about 40 percent of the tree's thickness. Work the saw back and forth to create the cut, applying firm and steady pressure. Make another cut just above the first, coming down

The idea is to make a small wedge cut and then the main cut from the other side to meet that wedge cut. To help the tree go where you want it you can use felling wedges. I suggest that you tie a string or rope around the tree then use spray paint to mark