As has been noted, cutting down standing trees is a complicated activity that should be considered inherently dangerous. Dead standing trees are an additional complication, since the standard techniques depend for safety and control on the strength of the tree’s wood near its base, which may be compromised in a dead tree (and in some live ones as well). For an amusing (and instructive) hour, check out YouTube videos of tree-felling gone wrong.
The weight of a tree lying on the ground creates internals stresses that complicated cutting it up. Safety requires a chainsaw operator to be good at evaluating these and working with them. Some people have this sort of mechanical sense - and some never will. If you question your ability to devlope this, best to leave the chainsaw work to someone else.