Outside the Church there is no salvation?

Catechism of the Catholic Church, #846:

“Outside the Church there is no salvation”
How are we to understand this affirmation, often repeated by the Church Fathers? Re-formulated positively, it means that all salvation comes from Christ the Head through the Church which is his Body:

Basing itself on Scripture and Tradition, the Council teaches that the Church, a pilgrim now on earth, is necessary for salvation: the one Christ is the mediator and the way of salvation; he is present to us in his body which is the Church. He himself explicitly asserted the necessity of faith and Baptism, and thereby affirmed at the same time the necessity of the Church which men enter through Baptism as through a door. Hence they could not be saved who, knowing that the Catholic Church was founded as necessary by God through Christ, would refuse either to enter it or to remain in it.

Pope Benedict XVI:

“I can understand that in the face of such reports, people, especially those close to victims, would say ‘this isn't my Church anymore’,” the pope, 84, told reporters on his plane from Rome in reference to widespread abuse by priests.

But he asked for patience as the Church grapples with enduring outrage over the scandals that has threatened to cloud his visit to Germany, where his election six years ago had met with an outpouring of joy.

“The poor Church, the poor, poor Church. Please be patient with us…”