Okay, here's a made-up example so you can see how ordinals work. Say we have 5 skaters in the event, and 5 judges on the panel. The results might look like this:
Judge 1 Judge 2 Judge 3 Judge 4 Judge 5 Majority
Skater A 1 1 1 2 2 3/1
Skater B 2 3 2 1 4 3/2
Skater C 3 2 3 3 1 5/3
Skater D 4 4 5 4 3 4/4
Skater E 5 5 4 5 5 5/5
You see that each judge has ranked the skaters 1-5. Judge 1 was the only one who placed them in the order of actual finish.
In this example, Skater A has the majority of the 1st place ordinals, 3/5, and so takes 1st place.
Skaters B and C are actually numerically tied - if you add up all their placements, both come out with 12. Skater B has the majority of 2nd place ordinals, though - two actual 2s and one 1, which now counts as a 2 because 1st place has already been claimed. Skater C has a 2 and a 1, which is not a majority, and takes 3rd place. The fact that Skater B got a 4th place ordinal from Judge 5 is irrelevant because they had the majority of 2s for 2nd place. Skater C is counted as having 5 3s, because the 1 and 2 they got now count as 3s since 1st and 2nd place are already taken.
Skater D has four 4s for 4th place, and Skater E has five 5s for 5th.
It is possible for skaters to come out with the same majority. In that case, you add up the scores that make up the majority and whoever's total is lower places higher. If when you add the majority scores up you still have a tie, you add up all the scores for each skater, and again, the lower total wins. If it's still tied, then the skaters tie for the place. It is even possible for someone to take 1st place with no 1st place ordinals at all, if no other skater claimed the majority of 1sts.