I am using Angular UI Bootstrap Modal box. When the modal opens the body has a scroll. When I scroll the content behind the modal also scrolls.
I can set overflow: hidden to the body tag and this solves the issue. However if I have alot of content within my modal I need a scroll to show. This scroll should not be inside the modal i.e When I use the page scroll the modal should only scroll and not the content. Plunker here
I'm facing the very same problem actually, using UI Bootstrap, and came up with kind of a workaround. On opening the modal, you add a class (.ovh) to the body, that sets overflow to hidden. On closing/dismissing the modal, you remove that class, so that scrolling is possible again.
See my fork of your fiddle here: http://plnkr.co/edit/OIJ2ee5Ph0ELgkKPrSbr?p=preview
Note that I've placed the class in the index.html, just for demonstration purposes. Besides I injected $document in the controller definition, to use the reference provided by angular.