31702

When we watched the video, we soon realised that the ace was third and the 2 was sixth because of the number of letters in the words. We drew 13 cards, and wrote A on the third and 2 on the sixth. Once we had realised that the cards were put on the table when they had been spelled out, we realised that we had to cross them off our drawings, so we had fewer cards to deal with each time. Then we spelled out the words one by one until we reached the queen. We then realised that the king had to be first as it was the last one to be revealed.
Our solution was K4A8Q27510J369. Lauren also found one that was Q4A8K27510J369. This one worked dealing the cards from the bottom, we think.