I have had a D&C after my first baby died and a natural miscarriage just recently. The loss is difficult either way, although I feel more whole having gone through the entire experience on my own. You can read more about it under "stella's story".
Do go to the hospital should you bleed more than a pad in an hour (soaked through and through, as my midwife told me).
Stella was born on a sun. night without any labor or bleeding, just fell out of me, connected still by her cord. (I was 12-13 weeks along when she died). We buried her on Tuesday. Early Wed. I went into labor to get the placenta out, it was out within an hour 1/2. I went to the hospital thinking I was hemorraging, but the truth was that I was just in labor and after laying down, a large amount of blood came out when I went to the toilet. The doctors told me I HAD to get a D&C to make sure everything came out, but since I was still having clots coming out, I knew my body was doing what it needed to.
It is not unusual to have clotting for the week after the placenta is out. I bled like a heavy period for 4 days after the placenta was out, then got my first period 3 days after that. I think having a period is a good way to know your body is doing well-- after all, it cleanses the uterus. Just don't expect regular periods fo awhile.
Take care of yourself.