I've done the same thing with Knoppix4.0.2 and more recently with Knoppix 5.0.1. The process is similar except that instead of using the GUI menu I opened up Konsole and typed;
sudo knoppix-installer
I pressed enter and the install started. I chose a full Debian install (you get a choice of 3 diferent install types). I have 3 Windows partitions, C, D and E and I installed the Knoppix on some un-allocated space at the back of the HDD. For some reason it installed on hda5 with hda6 as a swap partition. I've got no idea where hda4 vanished to.
There seems to be some consensus in the linux dev community that is moving towards live CD's packaged with installers. Knoppix which used to be a traditional live CD has now placed paramount importance on their installer in the latest version. Also Ubuntu\Kubuntu which used to come in 2 versions (install and live CD) now only comes as 1 live CD with an installer icon placed on the desktop.