A buuthandi is like a balloon around a star, with space-stations dangling inward. In essence it's a solar sail in which the solar wind is precisely balanced with ballast. Breya's assault destroyed defensive facilities, and 'popped' the balloon, cutting it into segments. All of the habitat areas are intact, however, and only a very, very few F'Sherl-Ganni are dead (Vice-Lord Grak't'b'd'fwee having joined their fallen ranks recently). These habitats have dumped ballast and are sailing AWAY from the certain doom presented by falling into the central star, powered by giant sections of sail.
For an idea of the size of these sections of sail material, consider roadmaps. Start with one on which 1 centimeter equals 10 kilometers (a fairly common scale for useful maps). A map of your city and the surrounding countryside will fold up nicely in your hand. Now consider one where 10 kilometers equals 10 kilometers... to map your city on this, you'd need a piece of paper the size of your city.
Now consider one where, for some odd reason, you need even more detail. Like, you need 10,000 kilometers of map to represent a single kilometer of city streets. On this map you'll have mucking great avenues that represent cracks in the pavement. You could print a map like this for every city on Earth on a single, severed section of buuthandi sail material, and have room left over to gift-wrap Jupiter in enough layers that the recipient would have no idea what he was being given.
"Hmmm... it's really heavy. I give up, what did you get me?"