Are you a physicist?
Undergraduate physics major.
Wikipedia is generally not very good source if you're looking for information in a subject you're not familiar with. Its articles usually use a lot of jargon, which require knowledge in the subject to understand, knowledge that you don't have. A better bet is just to google "introduction to [whatever subject]" or something.
How can anything occupy multiple places at the same time? Sounds like science-fiction (don't worry I still believe you).
You might know that light behaves both like a particle (photons) and a wave (electromagnetic waves) when measured in different ways. In fact, as far as we know, all particles behave like waves too, including electrons, at small enough scales. The "electron wave", in addition to exhibiting wave-like behaviors (diffraction, interference, etc.), also turns out to describe the probabilities of finding the electron as a particle, in regions of space occupied by the wave. Well, not exactly, but the mathematical details are not really relevant to this discussion. Since, as a wave, we don't really know where the electron is until we measure it (like Schrodinger's cat), we just say that the electron is in all those places at the same time until we measure it.
Anyways, the important part is that electrons don't revolve around the nucleus like planets revolve around stars. They exist as stationary wave patterns around the nucleus. Because they're waves, there are only certain shapes they can take on, and "sucked into the nucleus" is not one of those allowed shapes; otherwise the aforementioned uncertainty principle is violated. Thus, the electrons can't be sucked into the nucleus.
If you're wondering why the centrifugal force explanation doesn't work, it's because if that's how it works, the electrons would emit electromagnetic waves as they spin around the nucleus. They would lose energy this way, which would cause their orbits to become smaller and smaller, until they crash into the nucleus. If this is how it worked, all atoms would self-destruct in a few milliseconds or something, and glow brightly at the same time.
Note: The "electron waves" I said above are
not the same thing as electromagnetic waves. Electromagnetic waves are light waves, made of photons. "Electron waves" are made of actual electrons. They're very different kinds of particles.