Hey man,
I'm in a slightly different positon to you in that I go to a boarding school 5,000 miles away from home and my parents are not divorced.
Buttt, the first year I was here I was very homesick, even though I spoke to my parents all the time over skype and the phone. The way I got over it was to think of what had to be done at school and concentrate on the here and the now, knowing I would see them soon (I was never away for more than 2 months at a time). This is my second year and I'm hardly ever homesick. Since you live 5 hours away, can't you go visit them some weekends? So my advice is, focus on your work and friends and on the present. It took me a year to stop being homesick so no, I don't think that's strange at all.
Hope this helps