Thanks for that Wolfe. It helped, I think.
Also, I've been sort of wondering, if something massive enough crashed into a black hole, would it be able to sort of "break" a black hole into smaller black holes, possibly letting a large chunk of that matter escape due to the reduced gravity?
No; because a black hole is intrinsically linked to the matter contained within the event horizon; even if you could shatter one(which would take a Phenomenal amount of energy....on the order of thousands of supernovas worth), the result would simply be a larger black hole by volume, rather than several smaller ones; though you are correct, the gravity would be reduced in such an object, the larger the black hole, the overall less intense its gravity is(it just affects a larger area).
Actually I read a paper a few years ago that involved breaking up a pulsar; it involved creating two gravitational singularities, exactly equidistant from the pulsar, and with identical masses. In time it would slow the spin of the pulsar, from several thousand/hundred/dozen times a second, to something more like the rotation of the Earth; eventually it would cease spinning altogether, and that point gravity from the singularities would pull the pulsar apart. There comes a point in physics where the gravity from two objects not only creates a gravitational neutral space from those two objects, but from ALL gravity that would interact with that space.
Essentially it would be like removing the gravity that crushes the pulsar into its super dense state: Boom; the Ultimate Fission bomb. The paper postulated it would be the ultimate means of warfare; pulsars are everywhere, the nearest is just under 100 light years from Earth, and this region of space is relatively sparse compared to, say, the nearby Perseus Arm. If this procedure was done to the nearest pulsar to Earth, Earth would have ~100 years before it was enveloped in a cloud of neutron and gamma radiation so intense the entire plant would be sterilized of *All* life in months.
Physics is fascinating, but many of the concepts and ideas are truly frightening.