I really know nothing about the systems in place for children, so this comment may be way off base & may not even be possible, but I was wondering if you could get in touch with some social workers in the area where your ex lives & where your daughter is going to & talk to them about what your daughter has told you happens & see if they can check in on your husband since he does have a problem with being abusive & I'm sure that was noted in the divorce even though they are usually NO FAULT divorces these days.

Know one doesn't want to get the authorities involved usually because it messes up & causes more problems at times.....but there has to be some way of guaranteeing the safety of your daughter.