How to keep a door open without a door stop. This can hold the door handle at an open angle allowing you to push the door open and closed without turning the knob. Put a slight bend in the old hinge pin. Depending on the gap between your door and door frame it may just allow you to push the door open and closed. If your door only has two hinge pins then completely close it and remove the hinge while the door is in this position.
If you put the door stop in the gap so the door couldnt close instead of under the door holding it in place you cat would be able to get in and out fine. While theres no easy fix for the framing there are a couple of ways to keep the door where you want it. When you push your door open you expect it to stay that way. If it slowly swings closed partially or all the way its likely that your door is no longer plumb.
First remove one of the hinge pins bend it. Place your hinge pin on a scrap piece of wood. This door hardware article discusses the different types of door stops that will positively hold doors in the open position. In an emergency it may become necessary to close a door and ensure it does not come open until the emergency passes.
This will also prevent the door from locking. Hold open door stops. However placing the coin on the door latch may not hold the door open.