Atomic stability

Okay, We all know that protons and electrons are oppositely charged particles and as such should be drawn towards each other but in the atom the electron maintains a respectful distance from the core. Could someone please explain how this process works (the less math the better), what is it that keeps them from coaleseing?

>>3
No, actually, no, it is not the exact same concept because gravity is an entirely different force than EM. The problem with an orbit caused by EM is that, were it an accurate depiction of the electron-nucleus system, the electron would radiate energy and spiral into the nucleus, which does not happen with gravity. That's the problem that requires wave-particle duality to solve.