If you want to preserve the skull, here is the accepted process that museums use.

1. First, determine if the skull is decayed. If it is, you'll want to work with it OUTSIDE
If you want to preserve your MARRIAGE, you'll boil skulls outside. Learned the hard way boiling deer skulls, and they weren't even rotten!...TIM

PS Gigmaster: I have a BSc in Zoology. Your fabulous explanation was a trip down memory lane - Ah mammalogy labs...boxes of skulls and skins...pits of dermestid beetles...the everpresent scents of mould and decay...ah the good old days!