Yeah, that part was really gross! Actually, in cases where the placenta is not delivered properly, the patient is immediately given a D&C or else the risk of infection is very high. In the old days, women died from these infections.
This lady also very unlucky cos she got her uterus poked during the procedure to remove the placenta! aiyo.
My hubby told me that after the baby is delivered, the obs/midwife will usually rub your tummy to get the placenta to detach from the womb and then the placenta can be delivered in one piece. But sometimes, if the obs/midwife is impatient, they will pull the placenta causing the capillaries to detach from the wall, and sometimes, pieces of it will remain stuck inside. Mild tugging is ok but not if they pull it out forcefully.