Imagine there were only 19,000 people on Earth, roughly evenly distributed. What's the chance you'd ever run into another person? Now, instead of just the land area, make sure that 3/4ths of those people are on the ocean. What are the odds of running into one of them now?
Now, imagine that, instead of just the surface of the Earth, you stack up about 500 layers, each one of them the surface of a sphere wrapping the entire Earth, each one a mile higher than the last and starting about 160 miles up. Now instead of just the surface of the Earth, spread those 19,000 people across those 500 spheres evenly and evenly spread them around the surface of the sphere they're on. And all of those spheres have more area than the surface of the Earth.
Now, would you consider that area "dangerously heavily populated?" On top of that, you need to shrink the people down for most of the debris.
Now, to be fair, the real test is that many of these "people" are moving really, really fast, although most of them are moving in roughly the same direction. But a few of them are going in different directions. And some of those are jumping between spheres. But it's still areas larger than the whole surface of the Earth. There have been only a tiny number of collisions between these objects. (I think the number is actually -- one.)
Like I said, space is big. Really big. Bigger than the biggest thing you can imagine. You may think it's a long way down to the pharmacy, but that's peanuts compared to space. (With apologies to Douglas Adams)
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