How to add MVC pages inside ASP.net WebSite in c#

Question

I have the plan to code new content of our old asp.net website with MVC.

User want no discontinuity between old and new sites, so I have to use same solution and make page from old and new "Way" speak each other.

I follow this topic

but when I try to open page - I get "Error HTTP 404.0 - Not Found" exception.

What I do is:

1. Add MVC to my web project with Nuget
2. Edit web.config section to this

 <add assembly="System.Design, Version=4.0.0.0, Culture=neutral, PublicKeyToken=B03F5F7F11D50A3A"/>
        <add assembly="System.Web.Extensions.Design, Version=4.0.0.0, Culture=neutral, PublicKeyToken=31BF3856AD364E35"/>
        <add assembly="System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=B77A5C561934E089"/>
        <add assembly="System.Data.Services.Client, Version=4.0.0.0, Culture=neutral, PublicKeyToken=B77A5C561934E089"/>
        <add assembly="Microsoft.Web.Infrastructure, Version=1.0.0.0, Culture=neutral, PublicKeyToken=31BF3856AD364E35"/>
        <add assembly="System.Web.Routing, Version=4.0.0.0, Culture=neutral, PublicKeyToken=31BF3856AD364E35"/>
        <add assembly="System.Web.Abstractions, Version=4.0.0.0, Culture=neutral, PublicKeyToken=31BF3856AD364E35"/>
        <add assembly="System.Net.Http, Version=4.0.0.0, Culture=neutral, PublicKeyToken=B03F5F7F11D50A3A"/>
        <add assembly="System.Web.Mvc, Version=4.0.0.0, Culture=neutral, PublicKeyToken=31BF3856AD364E35"/>

1. Edit my global.asax to this:

   public class Global : System.Web.HttpApplication
   {
       public void RegisterGlobalFilters(GlobalFilterCollection filters)
       {
           filters.Add(new HandleErrorAttribute());
       }
   
       public static void RegisterRoutes(RouteCollection routes)
       {
           routes.IgnoreRoute("{resource}.axd/{*pathInfo}");
           routes.IgnoreRoute("{resource}.aspx/{*pathInfo}");
           routes.MapRoute(
              "Home",
               // Route name
              "home/{action}/{id}",
               // URL with parameters
              new { controller = "Home", action = "Index", id = UrlParameter.Optional }
               // Parameter defaults
               );
       }
       protected void Application_Start()
       {
           RegisterGlobalFilters(GlobalFilters.Filters);
           RegisterRoutes(RouteTable.Routes);
       }
   }
   
   void Application_Start(object sender, EventArgs e)
   {
       ... my old code
   }
   
   void Application_End(object sender, EventArgs e) 
   {
       ... my old code
   }
   
   void Application_Error(object sender, EventArgs e) 
   { 
       ... my old code
   }
   
   void Session_Start(object sender, EventArgs e) 
   {
       ... my old code
   }
   
   void Session_End(object sender, EventArgs e) 
   {
       ... my old code
   }
   
   protected void Application_BeginRequest(Object sender, EventArgs e)
   {           
       ... my old code
   }
   

2. Create HomeController in AppCode folder:

   using System.Web.Mvc;
   public partial class HomeController : Controller
   {
   
   
   protected override void Execute(System.Web.Routing.RequestContext requestContext)
       {
           base.Execute(requestContext);
       }
   
   public ActionResult Index()
   {
       var r = new ContentResult();
       r.Content = "Hello world";
       return r;
   }
   }
   

3. This is what I get:

I have also tried this way but got same error.

I read this but it suggests migrating entire site to Web Application and I am afraid to do that...