Looks like [Adam Prince] lucked out with his broken bit, which he was using to drill the hole for a pin in a small custom brass hinge. It turns out that a hot solution of alum (ammonium aluminum ...

Or, you could opt for a wood dowel to fill the damaged hole, a common solution for broken cabinet door hinges. Use a large drill bit to widen the hole if needed to fit your filler. No matter what ...