It's a bit involved but there's a nice tutorial from yahoo answers here:
http://answers.yahoo.com/question/index?qid=20111119103542AAwLMWn
Basically you format a thumb drive for the xbox, clear your cache, download the 1.1 update and transfer it to your thumb drive on your PC.
Then you pop in the thumb drive and run the game.
In order to read an xbox formatted thumb drive on your PC you need a program called horizon. (www.xboxmb.com/horizon/)
There may be others but that is the one I use.
You can find the older skyrim updates here:
http://www.xbuc.net/?searchString=skyrim
This is the update you want I believe: 49A1477A
You can see it's from the 20th, while the first patch listed is from today.
Now I'm at work and haven't tested this so I don't know if it will work, but in theory it seems like it should.