When I was entrusted with my 1st gun, a Stevens Model 94Y .410, I used a length of heavy string with a lead fishing weight on one end and a loop on the other. Pieces of t-shirt stuck in the loop provided patches for the pull through. The first were soaked with Hoppes #9, and then dry until they ran clean, finally with sewing machine oil.

Still use pretty much the same regime now...Geo