First, stay away from steel shot in either gun, more so the older one. Second, stay away from modern high brass shells especially in the older one. Most of the modern day shotgun ammo with the high brass pushes the limits for the sake of "performance".
If at all possible, use the low brass 2 3/4in non-magnum shells. I have a Remington Mod. 11 (same exact shotgun but stamped Remington, they made the gun under license from Browning for a number of years) and it shoots anything well, but I never shoot steel. Bismouth is good, but expensive.