Cat Claw Sheaths. Cat can shed claw once every few months so don’t be afraid if you find any cat claws in your floor, as long as it is not broken and your cat doesn’t show any pain. Normal grooming is anything like, licking, chewing and biting.
You may occasionally find these sheaths buried in your carpet. In an attempt to defend itself, it might scratch the other animal and then forcefully rip out its toenail if its claws got stuck in fur and it tried to pull it out. It looks like he's not shedding his claw sheaths anymore.