About 90% of deer I have killed are either trotting or running. They are however close range, typically less than 70 yards. I've killed a bunch of running deer but never shoot at any running directly away unless I've already shot once. If I've already shot at a running deer that close chances are I've hit it once and I feel obligated to put it down, even if it's from a Texas heart shot. Probably 80% of the deer I kill are shot more than once.
I killed 4 this year. 3 were running and all 4 were less than 50 yards away. The biggest I killed this year was a very large bodied 8 point at 20 yards. He was running flat out.
RH, it would be interesting to know what you are shooting those deer with.