Infallibility is a gift TO the Church, to protect it FROM the errors of popes. It is not that the Pope will always say the right thing, but that if the pope thinks or believes or says the WRONG thing, it will not be in such a way as to lead the whole church into error.
That is to say, erroneous papal opinions will not be permitted to become dogmas.
But it was a long article to read. So for everyone's convenience, here's a relevant and wacky cartoon featuring a Pope who croaks, for your edification: "How to Explain Papal Infallibility in Under Two Minutes" (YouTube)
Enjoy!
I enjoyed it! Would havr used Sixtus V instead of Alexander VI as the example though!