Fungible doesn't mean divisable. That does not imply non-fungible means something is divisable. I gave an example of somithing fungible which isn't divisable (a barrel of oil) and one which is (dollars). In fact I also gave an example of something non-fungible which is non-divisable (Van Gogh's Sunflowers).

I'm struggling to think of something non-fungible which is divisable, but in any case I'm pretty sure NFTs are not divisable. It might be the case that non-fungible implies non-divisable but fungible things can be divisable or not.