Activate your king as much as possible before using your extra pawn to distract the enemy king.
Also move your other pawns a few times too, that way they'll be closer to queening. After the enemy king captures your outside passed pawn, it will run back to the other side, so it's nice to give your other pawns a little bit of a head start.
I'm currently a beginner chess player (around 900 rapid) and i'm looking for ways to improve. One of these ways is (i'm thinking) to practice the drills. But this particular drill is so uncontrollable to me. I'm not asking for help with this particular drill, I'd like to know what fundamental theory/experience I lack that makes me completely clueless about what to do. I understand the basic concept of keeping the king busy with the extra pawn so I can remove the other pawns with my king. But i'm completely dominated by the engine every time. I don't know where to go from here? any advice?