Performing quality assurance at every stage of development is what you are after. Ideally providing automation at every level coupled with some manual checking. The upfront costs of automation sometimes are daunting but will actually save you money in the long run.

Breaking code and breaking software is how you should thing about it. This puts the responsibility into every team member (designer, developer etc). The earlier the bugs are found the greater the ROI on setting up a world-class quality assurance plan.