I suspect that an argument based on torque does not provide the intuitive explanation that is sought. Perhaps a more natural way is to think in terms of mechanical advantage. It is effectively a lever. When you push at a point far from the pivot you have to push further to get the door to close to the same extent. This spreads the effort over a greater distance. It is like walking up the long but gentle ramp instead of climbing the short flight of stairs.

Another way to say what 'Bestfrog' said, when you are trying to close a door you produce torque the torque formula is defined by T = F (the force you make) * d (the distance from the point where the door is atached to the wall, the 'pivot point') so, the further you push the door from its pivot point, the greater the torque and easier it is to close / open it (hope you understood it, otherwise just send more questions - this is my first time trying to answer something :) )

Another way to say what 'Bestfrog' said, when you are trying to close a door you produce torque the torque formula is defined by T = F (the force you make) * d (the distance from the point where the door is atached to the wall, the 'pivot point') so, the further you push the door from its pivot point, the greater the torque and easier it is to close / open it (hope you understood it, otherwise just send more questions - this is my first time trying to answer something :) )

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