After a very long time I've regained access to this site. I've updated the tutorial. I've decided to do this after noticing how much response I've been getting! Thank you all. I wished to be able to help people after going through the pain of setting this up myself. I wish you luck and a better graphics card ;)

See on the bottom of the page for contact info, in case things go wrong.
Here's a tutorial on installing SiS 771/671 drivers on Ubuntu/Fedora/Debian etc. If you use Arch, then grab the package from AUR. I suggest you to switch to Arch if you don't, so that stuff like this is much less painful.
1. Download the proper package for your architecture: 64-bit and 32-bit
2. The step depends on what system you use
IF YOU USE DEBIAN, UBUNTU OR ANY DPKG/APT-BASED DISTRIBUTION:
Go to where you downloaded the file, then run this command: "dpkg -i xserver-xorg-video-sisimedia_0.9.1-3_*.deb". You should be okay now.
IF YOU USE FEDORA OR ANY RPM-BASED DISTRIBUTION:
Install the "alien" utility from your system repositories.
Run "sudo alien -r -c -v xserver-xorg-video-sisimedia_0.9.1-3_*.deb". Replace "PATH-TO-DOWNLOADED-FILE" with the path to the downloaded file.
Run "sudo rpm -ivh xserver-xorg-video-sisimedia_0.9.1-3_*.rpm". You should be okay now.
CONFIGURING SISIMEDIA FOR SIS 771/671:
1. Switch to one of the virtual terminals on your system by using "Ctrl+Alf+F[1-6]" or chvt 1-6.
2. Log in as root.
3. Stop your desktop manager (/etc/init.d/YOUR_DESKTOP_MANAGER stop or service YOUR_DESKTOP_MANAGER stop).
4. Run X -configure to automatically create a configuration file for Xorg.
5. Change directory to /root (cd /root).
6. Open the xorg.conf.new file in your favourite commandline text editor (example: nano xorg.conf.new).
7. Find a line starting with "Driver" in the "Device" section (It'll probably contain "vesa", "fbdev" or "modesetting" as the parameter).
8. Change the line to look like this: Driver "sisimedia".
9. Add this line before the Driver line: Option "UseTiming1366" "yes" .
10. Search where the "Device" section containing the "Driver" line starts and put this before the beggining of the section:
Section "Server Flags"
Option "IgnoreABI"
EndSection

11. Save the file (Ctrl+O in nano).
12. Close the file (Ctrl+X in nano).
13. Start your desktop manager (/etc/init.d/YOUR_DESKTOP_MANAGER start or service YOUR_DESKTOP_MANAGER start).
14. Done! You should now have your distribution started with the maximal resolution possible with your video card.
IN CASE THINGS GO WRONG:
If something goes wrong, doesn't work, doesn't install, doesn't download etc. then please:
* Message me on Reddit, if possible. Username is "Zatherz". (pretty much guaranteed to be noticed)
* Message me on Twitter. Handle is "@Zatherz". (less likely to be noticed)
* Send me an e-mail. Address is "zatherz@linux.pl". (not too likely to be noticed)
You can also send your thanks there, if things do work :)
Content from the old page can be seen here.