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What kind of drill are you using????Hand drill or press...I know it sounds stupid but the more info the better..

im using a hand drill

You need some type of press to maintain the bit as straight as posible....
As you already found out  by using a hand drill you end up breaking bits because high speed steel does not bend very well.
Your probly working with what you have"I know the feeling from living in a apartment"but you are going to have to buy one"Harbor frieght",borrow one or take it to a smith..
Or chance it and contiue to use a hand drill.
Watch as the bit get deeper  in the hole and  almost thru and then SHIT as the bit breaks off and stays inside the hole...Which is another nightmare.