Do not atttempt this. Find a gunsmith.
This is best left to a factory trained gunsmith.
Try want ads, for sale ads, gun shops, gun shows, estate sales, garage sales, pawn shops, egunparts.
HIghly recommend you leave this to a trained gunmsith.
To disassemble a Browning Model 1886 lever action rifle for cleaning, first ensure the rifle is unloaded. Then, remove the barrel by loosening the magazine tube band and sliding the magazine tube forward. Next, remove the lever by pushing out the lever pivot pin and then taking out the bolt and carrier. Finally, clean all components thoroughly before reassembling the rifle in the reverse order.
First, get a copy of the owner's manual. If it was made by Browning, go to Browning.com and request one. Second, follow the instructions.
If you are not trained to do this, I recommend you do not try it. Chances are better than even you will be taking a box of parts in to a gunsmith and that's not good.
Download a manual from Browning or take it to a gunsmith
The browning web site will provide this info.
BAR stands for Browning Automatic Rifle, not browning association rifle.
Let a gunsmith do it.
Correct terminology is 'inner magazine tube assembly.' The BAR22 and BPR22 used the same part, we occasionally have them for around $23.
You can request a manual from the company.