Also, guide your tap from above, using a point in the drill press chuck, or a reverse cone if the tap has a pointy end.
Any side loading is real hard on taps, especially the small ones.
I love the two flute gun taps. HSS. The teeth chip before the tap breaks, so you you know when to toss them. I get hundreds of holes before they get dull. Greenfield Tap and Die makes killer taps.
BUT, as Davec says, if they break off in a hole, you have to grind or EDM them out. However, that said, they are really tough, and I have never broken one off in a lockplate. I check the cutting edges first when I feel they are starting to cut with resistance.