Assume you are accessing your server remotely through SSH.
1. Download the package, say you are using Ubuntu
2. Install the package
$sudo dpkg -i *dropbox_1.4.0_amd64.deb
3. Start Dropbox
4. You will get an url to link your computer here, copy-and-paste into your web-browser. Restart your dropbox, all set :]
I tried to open the url with w3m or lynx inside the terminal but failed.