One trick I found that makes things WAY easier is by breaking sections of a paper into different tex files. You can share them on github and each collaborator works on their part. You don't end up with collisions and it works beautifully. I honestly believe LaTeX is easier to collaborate with than Word or even Google Docs.
Disclaimer: I'm mostly a nix user and so doing anything Word generally ends up as a pain for me, but I understand it isn't for most others.