a b c d e f g h i j k l m

1st draw

Kept: a c e g i k m
New pile: b d f h j l

Note that m was kept, so the next step is to move from top to bottom.
Let's do that first.

New pile: d f h j l b

Now repeat.
Kept: d h l
New pile: f j b

So now the whole kept pile goes: a c e g i k m d h l
In the last step, b was moved, so the next step is to keep.

Kept: f b
New pile: j

j is final card, moved from top to bottom, which changes nothing, and then drawn as last card.

Final order: a c e g i k m d h l f b j

This is the order the cards will be drawn from an alphabetically ordered set. Just replace this with the desired final order and then rearange back into the alphabetical order.


a c e g i k m d h l f b j
A 2 3 4 5 6 7 8 9 T J Q K

Solution:
A Q 2 8 3 J 4 9 5 K 6 T 7