Here is the image to explain what i want
left box shows how i have set loopcuts (green is the face that i am extruding and moving). Middle one is what i want to get. The right is the issue with blender. the red faces will remain. (i have removed doubles on those faces) So is it possible to extrude inwards so that you dont have those faces hanging ? I know i could just delete those faces and thats it. but if you have lot of elements with similar idea it will get time consuming. Thanks