What do veterinarians do with the dead pets?

We always buried our pets in the backyard growing up, even if they died at the vet, we'd bring them back home. I think most reputable places will cremate them. I've even seen a few that had little cemeteries but I'm sure there isn't a room for all of them so maybe they charge a little more for that and the others are cremated. I've thought about this, though, since we rent now that I'm married with a kid. What if our dog died while we live here? Would we bury her in the yard, even though we don't own it? I wonder if there are pet cemeteries that you can pay for just like a human cemetery?