I have an eMachine m5312 (and dead hard drive, LOVE the Live CD) with a Broadcom WiFi chip running Knoppix 3.8.1. Here is how I made it work:

1. Connected the system via the wired card (was automatically detected during boot)
2. Google searched 'bcmwl5 linux driver' and found http://www.spiration.co.uk/ppost/1219 which had a link to the driver
3. Downloaded the following http://www.silfreed.net/download/hpz...P23107A.tar.gz
4. Extracted it to the home folder
5. Went to kde\knoppix\network/internet\ndiswrapper configuration
6. Choose bcmwl5a.inf
7. Went to kde\knoppix\network/internet\wlan configuration and followed the wizard to match my routers settings
8. Opened knoppix root terminal
9. ifconfig eth0 down
10. pump -i wlan0
11. iwconfig (to make sure it picked up the router)
12. ping www.google.com to make sure it worked

The above worked for me.