Sounds like you have paint chips, which are not uncommon if you do a significant amount of highway driving. The "white" you see, is most likely, the wax or polish that you have been using on your vehicle. When applying those products, they get into the tiny crevices and are hard to remove. When dry, it results in white spots, which are very obvious on a black car.
I generally keep a bottle of touch up paint handy and repair the chips as they happen. Langka makes a kit to repair the chips, which works very well with some practice (
www.langka.com). However, if you have a lot of them, then the affected area may need repainting or you will have to live with it.
I use a bra to cut down on chips. Some folks use clear bras.
You can remove the white residue with an instant detailer, careful hand, and a soft bristled brush, but it is very time consuming especially if you have a lot of chips.