First, GoDaddy does not allow for Subversion to be installed. It's a seperate service that runs to provide a web-like interface - not a hosting account.
With that said, there are a few free versions still out there.
I vote for CodePlex as it's free, and uses Subversion (through the TFS hook), as well as giving you forums, documentation areas, etc.:
Additionally, Google Code is also subversion-based (I kind of like the CodePlex community better though):
If you want something more private, I recommend Unfuddle as they have a free version. Just don't check in big files.
Another private one is Project Locker:
Lastly, I highly recommend picking up and reading a Subversion book on practical uses of Subverison, organizating your multiple projects, and proper branch/merge management.
Version control with SubVersion
You can also read it for free here: http://svnbook.red-bean.com/ But, it's a very long dry read. I highly recommend picking up the book to thumb through down the road.