This article walks you through the steps to deploy an ASP.NET MVC application to a Azure Web Site by using the Publish Web Wizard in Visual Studio 2013.
This could be done through Microsoft Web Platform Installer
Select the option Add on item Azure SDK for .NET (VS 2013) -2.2, and the component will be installed on your machine:
You need to get a Windows Azure account. Everyone can open a Windows Azure account for free.
Check the link below for more information.
Check my wiki article about that:
You also can download the code from my sample in Microsoft Code Gallery:
After that, is necessary to check the option Create Web Site, that will be provision of the new website