How do you publish your MVC application In Real Time ?

Simple
Right click on solution, in menu click on publish.... you will view dialog box as following links

http://blogs.msdn.com/b/sajoshi/archive/2010/12/13/visual_2d00_studio_2d00_2010publish_2d00_asp_2d00_net_2d00_mvc_2d00_website_2d00_to_2d00_iis7_2d00_5.aspx
http://stackoverflow.com/questions/11091839/how-to-deploy-a-asp-net-mvc-4-app-to-web-hosting-provider-sub-directory-with-vis[^]
http://jvance.com/blog/2008/10/16/DeployMVCApp.xhtml[^]

If you have IIS in your system, then simply create a folder on your dekstop(C:/> drive), then right click on your mvc web project, click on publish. check for the configuration. If you donot have web.release.config(for release versioin) then choose Debug mode and the folder where you want your assemblies to be stored, then finally click publish.
What this will do is inside the folder, it will add the dlls of your web project into the bin folder. Then you go to IIS->click on sites->right click on default website and add application. Then you follow as it says giving your application an alias through IIS and the browse.
Thank you
:)