How can I delete only one instance of a media file that's used multiple times?

On the site I have built with Locomotive sometimes the users upload images to go with a story. They may use the same image in multiple places but if they then remove/delete it from one location they are unable to access the page. It seems that the other links to that image are now broken. Is there a way to fix this other than telling the users not to delete an image of they've used it in more than one location?