This is the most requested screencast since I started doing these. This screencast covers to full end-to-end experience of deploying an update with Configuration Manager.
Please review the screencast here on how to publish an update before watching this one if you have not already. For details steps on setting up publishing please see this blog article. Also here is where you can find details on which logs to look at for Software Updates.
To view this screencast in other formats visit: http://technet.microsoft.com/en-us/edge/scup-deploying-an-update.aspx