There were six bulls in all put to death that day.
For the first "fight", the Matador came out and knelt down on the sand with his cape in front and to his side. He signaled to let the bull in. The bull charged and the Matador jumped up at the last moment so that the bull would pass by concentrating on the cape. Unfortunately for the Matador the bull had a different idea and managed to catch the Matador's shoulder and throw him into the air. The bull returned and had the chap pinned on the ground and started giving him a going over.
The other three guys came to the Matador's rescue by distracting the bull with their capes and running the bull all over the arena while the Matador made his escape to be patched up.
This is where the whole unfairness of the event strikes me. At this stage I thought the bull should be declared the winner and his life spared. But no, he was run around for 10 minutes or so, lanced by the Picador, and then spiked by these guys:
The Matador returned and tormented the bull some more.
Finally he put the bull out of his misery with his sword.
Look at me, look at me, look at meeeee.....
+1 made the comment that she felt like she was back in Roman times watching those spectacles at one of the Roman amphitheatres.