how would I do a cloth simulation?

Like the one in this video?


As you can see in this .gif, the original cloth isn’t the one that is broken (what is the word in english for a “broken” cloth ?).
There is, at first, a fake cloth (but you can have a true cloth simulation at this point). And then, the next frame, multiple pieces of simulated cloth appear here and there.
This is a way to “simulate” this action, because with a basic Blender cloth simulation, you can’t expect to have a nice simulation and a broken cloth.