Our Galaxy's Supermassive Black Hole is a Sloppy Eater

Like most galaxies, our Milky Way has a dark monster in its middle: an enormous black hole with the mass of 4 million Suns inexorably dragging in anything that comes near. But even at this scale, a supermassive black hole like Sgr A* doesn't actually consume everything that it gets its gravitational claws on --