First thing I'd do it to make sure you are running in DX11. Many/most computers seem to not like DX12 on The Division.
Somewhere in these threads, I have a lengthy write up of my experience. Here's the synopsis.
Ubi games crashed often, particularly the division. No other games did that, nor when I was doing Folding@home. Years went by and I finally built a new computer. The only thing I put in it from the old one was my power supply. It still crashed in the same way. On a hunch, I put a NIB (warranty exchange), but smaller power supply. That problem went away, but occasionally the computer would just go click, and power off. That told me the 1kw was not enough. I bought a new 1600w Corsair and in the 2 years since, I haven't had Ubi games crash more than maybe 5 times and I have thousands of hours in the game. My point, is it could be something with your system. See if a friend will let you try swapping a part or two at a time and see if you experience something similar.