Ok, now do a SH IP ROUTE and it should look similar to the following:
router#sh ip route
Codes: C - connected, S - static, I - IGRP, R - RIP, M - mobile, B - BGP
D - EIGRP, EX - EIGRP external, O - OSPF, IA - OSPF inter area
N1 -OSPF NSSA external type 1, N2 - OSPF NSSA external type 2
E1 - OSPF external type 1, E2 - OSPF external type 2, E - EGP
i - IS-IS, L1 - IS-IS level-1, L2 - IS-IS level-2, ia - IS-IS inter area
* - candidate default, U - per-user static route, o - ODR
P - periodic downloaded static route
Gateway of last resort is not set
10.0.0.0/24 is subnetted, 1 subnets
C 10.0.0.0 is directly connected, Ethernet0
C 192.168.0.0/24 is directly connected, Ethernet1
See how I have 2 C routes defined? Those are directly connect routes that the router know of. YOu see, for each network a router has a leg on, it then has a preferred route to that network. The administrative cost to that route is 1, the best you can get (unless you change it). So now, this router can route to either 10.0.0.0 or 192.168.0.0.
Now as for your client workstations, here are your options as I can see them:
1) set up a static route on whatever device you are using asthe "default gateway" for the 10.0.0.0 network, pointing the 192.168.0.0 network to the E0 interface on your router. Then on whatever device is the "default gateway" for your 192.168.0.0 machines, set up a static route on that device pointing the 10.0.0.0 network to the E1 interface of your router.