When a woman miscarries, why does she have to go through normal delivery rather than a C-section?

Don't get me wrong; I'm not trying to be morbid or gross by asking this question. I'm just curious because I know two different people who recently lost babies pretty late in the pregnancy and I know that both of them had to deliver the baby naturally, rather than via C-section. I mentioned it to a friend and she said that also happened to someone she knows. This obviously has got to be pretty emotionally traumatic for the mother to have to deliver a stillborn baby, and I know it would still be bad with a C-section, but is there some medical reason why doctors have women do this instead of the C-section? I mean, I know that Caesareans are major surgery and usually only done when necessary, but if nowadays rich women can choose to have C-sections, it seems to me like doctors would give a woman with a miscarriage the same option just to make it a little easier on her. Sorry for the long explanation, but any help would be appreciated!