I'll chime in here...
As a former Coast Guard small arms instructor and member of the service's National Shooting Team this is what I believe your problem is. Also keep in mind I'm talking basic marksmanship skills here and not advanced gunfighting skills.
Typically, shots scattered all over the paper with no discernible pattern is caused by the shooter not maintaining their eye focus on the front sight.
In order to keep your sights properly aligned, it is imperative you hold your focus on the front sight blade. If you are not sure what proper sight alignment looks like simply google "sight alignment" you'll get a bunch of pictures.
I'll assume for the sake of discussion your using a typical bullseye target with a black aiming center.
Now once you have your eye focus back on the front sight, Make sure the sight is properly aligned in relation to the rear sight. With your eye held on the front sight, the aiming black will appear as a fuzzy dark blob downrange.
Place this blob right atop the front sight and service the target/exercise the trigger.
Now here is where new or inexperienced shooters usually go south.
The first shot or two will be right in the black then they get progressively more and more spread out. There are a few things you'll need to be conscious of to avoid this.
First, keep your eye focused on the front sight. I've often had shooters place a couple good shots downrange then get worse and worse as their eye point of focus wanders forward of the gun. Folks will see their doing good and start wanting to see where the holes go, thus the eye focus moving downrange. Don't worry about the holes that are already down there in the target, they cant be moved of fixed. Concentrate on the next shot
Next is you must contend with whats called the "natural arc of motion". You will note that as you are aiming at the target, your weapon, aside from a little shaking, seems to wander side to side sort of in a sideways figure 8. This movement is called the natural arc of motion and everyone who shoots anything experiences it to one degree or another. It may even appear sometimes that you sights are clean off the target. Ignore it. This is an optical illusion. So long as you keep your sights correctly aligned and your eye focused solely on the front sight post, your weapon is covering a spot on the aiming black about the size of a coffee cup. It's not important to hold the weapon steady or keep it from shaking nor keep the sight perfectly in the center of the black. It's important to keep the sights properly aligned and that's all.
Lastly you must master exercising the trigger without upsetting or disturbing the sight alignment. This is where dry fire practice comes in. This is something you can do at home.
In dry fire practice first of all is to double then triple check that your weapon is clear and magazine is empty. simply aim at any surface that contrasts with the sights (like a white wall or a sheet of copy paper) keep your sights aligned then work on pulling the trigger fully through the stroke while concentrating on not disturbing your sight picture. You want to get the the point where you can stroke the trigger smoothly without upsetting your sight picture.
This dry fire practice will also help you master proper trigger control. You should pull the trigger in this manner... place your finger on the trigger, take up the slack, then apply a constant increase in pressure, straight to the rear through the point at which the hammer or striker falls fully to the rear then reset and go again. Go slowly at first paying particular attention to your sight alignment as you stroke the trigger. It will be messy at first but you will see gradual improvement. Speed will come with practice and learned muscle memory. Not being able to spend some range time with you, this is about all I can think of right now. Feel free to ask any questions that come to mind and above all, be extra safe.
Cheers
Bill
