
It's really easy, assuming you have your own server running somewhere. By the way, my hosting provider is Webfaction (affiliate link).
So, here we go:
dropbox.py status). Then change the Dropbox folder to a place in your WebDAV directory using this script.Now you can read and write to Dropbox without having Dropbox installed on your local machine. Of course I'd advise you to install the Dropbox client if possible, but there are situations you just can't: You are on a foreign machine or your are on an iOS device and your app does not support Dropbox, e.g. Pages.
If you don't have access to a server machine, you might try DropDav - I can't vouch for them as I didn't tried their service. They seem to be responsive, tough.
If you want to sign up for Dropbox and want extra storage, you may use this link. If you follow the link, you do me a favour as I get extra storage as well.