Some stories are not said as Mussar for you to be acting that way, but rather to reveal the depth and dimensions of Avodas Hashem. When you think you are near the top step you start slowing down. When you get a sudden glimpse of where the top step really is you pick up speed again. (Unless you are of the type that gives up because of that, which is what the Mishna addresses, Hamelacha Meruba… Velo Alecha Hamelacha Ligmor.)
When you hear a story of a lofty Madreiga what you can do is to take some part of that idea which is within your reach. For example, instead of saying, “I came with three others,” you can say, “There were four of us.”
But the truth is, if I were outside my Rebbe’s door I wouldn’t either announce myself as ‘me’.