When you entangle the particles, you have a copy of it. You then send _the clone particle_ over a mean (like fiber optics, if its a photon). Please note that you send the actual cloned particle, not information about it. Think about a cloned Heisenberg cat. You have to send the actual box with the cat inside.

So now you have two copies of the same particle in two different locations.

Now the tricky (and useless part): you DESTROY the first box. Was the cat dead or alive before you destroy it?

If it was dead, you kill the cloned cat. If it was alive, you let the cloned cat live.

So now, congratulations, you have teleported the cat just as it really was when you first cloned it.

Obviously this is a gross approximation, but the central idea is that quantum teleportation let you clone and transport a particle, but you have to find a way to capture it's state and send it encoded in light or whatever method you prefer (fax?).

UPDATE: The cat belonged to Schrödinger, actually.