I did exactly the same thing, brought one back from Tenerife about 11 years ago. It keeps producing pups, I take it out of the pot once a year, divide them up and end up with about 20 plants. I keep a couple and give the others away. When the mother plant gets too big I give that away too as I know I'll get another big one soon.

They are prolific growers and don't need too much looking after. Testimony to this is when you see 10 foot + Aloes growing out of a crack in a cliff side in Tenerife. I've also got some Aloe nobilis and another shorter compact aloe that I forgot the name of. I divide these at the same time and end up with tons of the things.

The more pups that you take off the more it produces them, so leave a few on to grow large and that will slow things down and you get a larger, stronger pup to pot on.

I tried doing this Kildermorie and no matter how big the pot is they quickly fill it and the pot becomes root bound. Maybe this root restriction is the reason that they slow down, but I find that they look unsightly all clumped together and have started dividing them again with no shortage of people willing to adopt them ;o)

I totally neglect mine, don't feed it, its pot bound and doesn't get watered very often, so it doesn't grow very much.Still flowers now and again though.