Smart Safe Change Procedure

We recently got a smart safe and are not sure how we should be handling the change when cashing someone out. We hear different things from different Store Mangers. Our DM is clueless as well. Right now we enter the exact amount a cashier as in the computer, deposit the bills, and put the change in a container. At the end of the night we try and make a dollar or two out of the change and deposit that too. If the computer says our total deposit is 1233.67 and the smart safe prints out 1233 and we see .67 cents in the container that is what we enter in the computer. Is that right or is there another way of doing it that is more accurate??