I have a router (Vodafone easy box) which doesn't seem to support local DNS. Now i want to set up my own DNS server on another machine, but still want to use DHCP. So I want to setup my DNS server to resolve DNS names to dynamic IP addresses which are managed by the router. The DNS server would run on Debian jessie.
Is this possible or do I need switch the DHCP to my Debian server too? Does anyone know a good guide how to do this?
I already searched about this but only found manuals describing how to setup DNS and DHCP on the same machine, but i think my case is a little bit different.