Why do my stainless steel fry pans always develop a residue? I have a set of stainless steel frying pans.  They are Emeril Lagasse brand which at some point was mentioned to be made by all-clad.  I don't believe they are of particularly high quality but seem to be fine.  They have a &quot;copper core&quot; with stainless steel making the remaining components.
When I cook just about anything, such as pan frying bratwurst/sausages, making chicken piccata, or caramelizing onions - the end result is always the same.  The pan develops a golden brown residue.  It could be called a crust of oil, fond, or just burned residue.  It is possible to remove it completely by scrubbing with bar keepers friend and a rag for ~20 minutes of elbow grease.
Note that I am using a fairly robust gas stovetop at medium-high to high heat for these tasks.  I usually am using 1tsp-1tbsp of EVOO, added after the pan gets up to temp and before adding the meat/vegetables.
Is it expected that using a stainless steel fry pan will result in this residue?  Or is my technique off?
Image of what my pans will look like after using them once (somewhat severe outcome):

Image of what my pans will look like after using them once (somewhat mild outcome):

Image of what I can clean the pans to look like after bar keepers friend:
I use stainless daily, and they are pans I have had for almost 20 years.  The outside of my pans look like crap, but the inside looks like your final pic.  My tips are: (1) Reduce your heat a bit when you can, as high heat will polymerize the oils in your pan, creating the coating that is difficult to clean.  (2) Make sure you are using proper cooking techniques, particularly when it comes to using the correct pan for the job, and deglazing. Also, your pan does not have to be smoking hot before you add oil or ingredients.  Be gentle. (3) Clean pans right after use, and when you see a hint of polymerized oil (the brown haze) work hard to get it off (it's actually not so hard...just takes some effort, and sometimes some scouring powder and/or pad).  Any residue you leave behind will worsen with time.
The pans pictured can certainly be cleaned up. It will now take some elbow grease, but it would be in your best interest.  Use a scouring powder with just enough water to make it a paste.  Let it sit on there a while, then scrub with a scouring pad.