Never never never never select "Novice" mode when installing something with the Amiga installer. Always use "Advanced" or "Expert" mode. In this case for example it would ask you where to install to and not silently try to install to the floppy disk.
And always keep your original floppy disks write protected. I don't know if the Gotek supports this, but you should try at least.
Ditto of what Thomas said:
It sound like the install script is attempting to install onto your floppy ie df0:, df1:, etc.
I suggest you use expert mode and make sure you are installing on your harddrive.
The partition names could be anything, but the traditional ones (from the 2090a days) are dh0:, dh1:, etc.