Whatever DHCP service you run for your network....edit it, and have it hand out the LAN IP of your DC, as the one and only DNS server. Your router will default to having DHCP enabled, and it will default to handing out itself as a DNS forwarder, or hand out your ISPs 2x DNS servers...which, naturally, will break active directory on your network. Workstations MUST use the IP of your domain controllers for DNS, not the router, and not your ISPs servers, nor any other public DNS servers.
I prefer to have my servers run DHCP, rather than the router. Keeps active directory running tighter, faster/better client DNS registration, etc.
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