I've been told by some people that this game is VERY difficult to win. I had the same experience for a while, but now I can win more often. So, I thought I'd let everyone know how I play. You don't have to play this way, and I'm not trying to claim that this is the best way to play. These are just suggestions for those of you who have trouble winning initially. Once you've played more, you'll get your own style.
The first thing to do when trying to win is look at all possible moves, and try to evaluate which is best. You shouldn't just look at the first move, either. You should look at least a couple moves in the future. For example, moving that 2 of clubs may look like a great move, but it may force opening up a "dead" space after a king in a couple moves. So it would be better to pick a different 2 (since any 2 can go in the first spaces).
Making "dead" spaces is to be avoided almost at all cost. I say almost because there are exceptions to this rule. For instance, I've you're already a few seconds before a crash and burn, and you can get a card into the right place, do it even if it brings your demise that much closer. At least that way, when you are forced to reshuffle, you'll have one more card that doesn't get reshuffled! Of course, you don't want to do this if it causes you to resuffle unneccessarily. There's a big judgement call involved here.
As you can guess, this sort of "looking ahead" takes time. So, there's sort of a trade-off involved. If you really want to win, you stand a better chance by taking your time and looking ahead. You may think that if you want to make a high score, you should minimize the time. However, remember that the number of shuffles used is more important than time in ranking scores, and you'll use fewer shuffles the more you tend to look ahead. And anyway, if you make a really high score, it's pure luck. So, don't go out looking to make a really high score -- if you get one, great! If you don't, you're still having fun, right? (You're supposed to say "Yes!" at this point.)
If you notice that one move will generate a "dead" space, you may have a tendency to go ahead and make that move anyway. DON'T! Make other moves, and never take the last step of opening up the "dead" space until you have no other choice. You may be able to move other cards around in such a way that you don't have to move the card out of the "dead" spot after all. Always avoid opening up a "dead" space at the earliest possible time. That way, you'll have a better chance of altering the course of events. For example, if you can see that a certain move will, in 5 moves, result in a dead space, don't make that move. In the process of moving other cards around, you're much more likely to move one of the 5 cards determining that course of events than if you only had 1 move to get the "dead" spot.
It's also not a good idea to move a king to a spot behind a low card, or more generally, to a spot in the left half of the deck. This tends to increase your chances of getting "dead" spaces. Instead, try to move your kings into spaces as far to the right as possible. (Unless the next card to the right is a low card.) If you have the chance to move a king into a rightmost spot, do it -- a king in that position cannot generate a dead space!
I hope this information helps a little! Good luck, and happy playing!