You could try a zone-transfer (see dig manual) but nowadays many DNS servers won't allow zone-transfers to unauthenticated clients (that are not configured DNS secondaries).
Update
If using BIND for DNS service add
allow-transfer ;
to the options
clause in /etc/named.conf
(or chrooted equivalent)
After restarting named, 192.168.0.3 should be able to perform zone-transfers using dig.