Good. Now that you have your requirements figured out, try to combine elements of my solution with the suggestions provided by this reply by Discipulus. In particular, ignore the "paragraph mode", start with the while loop suggested by Discipulus, expand the pattern he provided by capturing the desired file name (look at this regexp in my reply: m/^\s*module\s*([A-Za-z]+)/), and finish with writing to files, using either the approach I have show or the one suggested by vinoth.ree.
Try writing your script, and if you encounter any problems, post your code and we will do our best to help you improve it.
