Recently I was playing around using Azure and Visual Studio 2013.
I was attempting to deploy my website to azure using the Publish wizard. It had been working but them I started getting this error
Web deployment task failed. (Could not connect to the remote computer ("xxx.scm.azurewebsites.net") using the specified process ("Web Management Service") because the server did not respond. Make sure that the process ("Web Management Service") is started on the remote computer. Learn more at: http://go.microsoft.com/fwlink/?LinkId=221672#ERROR_COULD_NOT_CONNECT_TO_REMOTESVC.)
In my case I had been playing around in the Azure management console and I had changed the “MANAGED PIPELINE MODE” to classic.
Setting it back to Integrated allowed the deployment to succeed.