You can deploy your ASP.NET application to Windows Azure, actually Windows Azure can not only for hosting ASP.NET stuff, but also database, services, and other language applications such as PHP.
If you want to know how to host an ASP.NET application, and also know how to host any application or services on Windows Azure, here is a very nice step by step tutorial:
Walkthrough: Hosting an ASP.NET Web Application on Windows Azure.
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