The division I have heard used in
philosophy courses is that
morality is a system that tells you how to act, and that
ethics is the study of such systems.
I would take an existing system that tells you what is good or bad to do to be an Moral system, and the discussion of the theories of egoism, utilitarianism, duty ethics, virtue ethics, etc. to be about ethical systems.
This is one division that is used in some Ethics textbooks and at least one Ethics professor. It seems to be useful in some cases, but it is not standardized. (See Webster)