You could leave the dead tree as it is- is it necessary to remove it?
If not leave it be. If you must, an arborist will probably make short
work of it, unless you climb it yourself (having deemed it safe to
climb, of course), removing the lateral branches on your way up, if you
do not know how to snatch the top off a tree, then remove the crown
section by section, then start chogging the main stem- always ensure
you will not cut your rope, and that you are below the section you are
cutting. for the main stem(s), cut sections you can easily control,
pulling them to you if you need to drop them in a specific place (as
this will give you more control). Main thing, be methodical, mind your
ropes,be comfortable in your position so you have good stability.
Providing you know how to use a chainsaw in a tree, and know how to
make decent, safe cuts voila!