Infinity, Endless Division and Nothing

Infinity of time and space, endless division ( or infinite divisibility), and the concept of nothing are a few topics that can really wrack your brain. We can think about infinity, but we can't seem to grasp its magnitude.
Infinite divisibility in math is accepted, but in physical reality, quantum theory suggests a limit, such as the Planck length, which acts as a practical, but maybe not theoretical, limit to division. Endless division often leads to paradoxes regarding the nature of "being" and "nothingness." Some argue that if matter is infinitely divisible, you do not reach "nothing," but rather an "irreducible instability" or a continuous potential.
Finally, what is "nothing"? It can't be an empty black void because that space is something. Even if it didn't contain energy or microscopic entities, it would still be a space. Can nothing even exist? If everything in the universe did cease to exist, could the black void that remains also cease to exist? True "nothingness"—the absence of space, time, and physical laws—is a philosophical concept that current physics cannot directly describe or define.