Custom awaitables for dummies

In Async/Await FAQ, Stephen Toub says:

An awaitable is any type that exposes a GetAwaiter method which returns a valid awaiter.
...
An awaiter is any type returned from an awaitable’s GetAwaiter method and that conforms to a particular pattern.

So in order to be an awaiter, a type should:

• Implement the INotifyCompletion interface.
• Provide a boolean property called IsCompleted.
• Provide a parameterless GetResult method that returns void or TResult.

(I'm ignoring ICriticalNotifyCompletion for now.)

I know the page I mentioned has a sample that shows how the compiler translates await operations but I'm stil having a hard time understanding.

When I await an awaitable,

• When is IsCompleted checked? Where should I set it?
• When is OnCompleted called?
• Which thread calls OnCompleted?
• I saw examples of both directly invoking the continuation parameter of OnCompleted and using Task.Run(continuation) in different examples, which should I go for and why?