Plenty of free stuff out there.
One of the nice things about dealing with files on a computer is that they don't actually get changed if you do a Save As after messing with them.
You could download something like Goldwave and split you .wav file and not alter the original .wav file in any way, yet, get individual .wav files of the seperate songs.
Try this. Download Goldwave, open your .wav file that needs to be split up. For the first "split" you want to do, delete all the parts before and after what you want to save as a seperate .wav file, then do a Save As function. You will then be able to name the new seperate .wav file something else, and then you will have the new seperate .wav file, as well as the original unedited .wav file. You can do all the above again for the next seperate .wav file you want.
Very easy to do, and the results will be what you would expect.
As far as I know, Goldwave is about the most powerful full featured demo software available on the net, aside from trying to find some "warez" stuff. It has a limit on how many commands you can do in any one session with the application open, but if you exceed that, it allows you to save your work, then close the program, then reopen it again to continue. Very generous really!
Good luck.