Can't resolve local IP using remote dns server

Indirect references to such addresses should be contained within the enterprise. Prominent examples of such references are DNS Resource Records and other information referring to internal private addresses. In particular, Internet service providers should take measures to prevent such leakage. -- RFC 1918

You are not supposed to be propogating DNS records with RFC 1918 addresses outside your enterprise. If you want to create an "internal" version of your DNS zone that contains internal addresses, that's fine (and that will work). But you are not supposed to use the Internet's DNS backbone to do it.