The development model (and therefore your usage patterns within your development team) is completely different with git. The big thing to unlearn is the "remote" repo is just any repo that isn't on your computer. It could be the central managed repository, or it could be something that you wanted to grab directly from a co-worker. There's nothing special about where the data is stored.
We use it to track our data inputs at work. We have a repository stored on a network drive that all users have access to. We all do our work locally and push our changes to the repository on the network drive. It's quite often that we have multiple people editing different parts of the same file. As long as there are no conflicts, the lead analyst will then simply fetch all the branches, merge the changes together, and then push it back out. I can also be working on something locally (a side test case for example) that doesn't need to clutter up our common repository.
Git also has the ability to commit parts of files. Did some work that should be listed as two separate commits? 'git add -p <file>' and select the parts you want to move to the staging area (and then add to a commit). SVN, to my knowledge, doesn't have this ability.
After having so many nightmares getting SVN to work nicely during my undergrad, git is a breath of fresh air. The workflow is so much simpler, since the work I'm doing doesn't need to have any interaction with anyone else's work until a merge happens. And then the merging is pretty darn straightforward.
Performance is also miles ahead of SVN, since the only time you're ever accessing a network resource is during a pull or a push. Local access is much faster than network access.
Git is also purely file based. I could archive my entire git repo, move it somewhere else (even another computer), and simply resume my work. You could even use a single git repo to manage your file backups and archiving for you if you wanted. Just schedule a "git add *", "git commit -m 'Today's backup'", and you're done. Now you can restore your filesystem to any previous time you wish.
@OP - The
Git Homepage has a lot of very good documentation on Git and why it's better than CVCS systems. Have a look at the "About" pages.