Jobs in this department include:

Accidental Magic Reversal Squad: Their job is to take care of the mess when magic is performed on or in front of muggles, and includes things like deflating flying aunts.

Obliviator Headquarters: These are skilled individuals who excel at memory-altering charms. They are sent out to erase the memories of muggles who have seen magic.

Muggle-Worthy Excuse Committee: This committee is the third member of the catastrophe triad, and their job is basically to sit around and make up plausible excuses for what happened instead of magic, that muggles would believe.