So you want to get back into the game; that is assuming that you were out of it in the first place and that that isn't the reason for the divorce.
I know, there are always two sides to the story, but divorces cost money and there can be emotional scaring, so go slow and try not to make the same mistake again.
Tell your date about your previous marriage, but don't dwell on it too much, but be totally honest if you want anything to come of it.
Usually, a divorced person, brings a lot of "baggage" with them (don't get me wrong; I don't mean that children are baggage, but it depends on how your date sees that).
If the other party got custody of the children, then there is the matter of child-support and probably alimony for the wife, if you are the husband.
Children should come first; you brought them into the world and you have a moral obligation to love and protect them first and foremost; however, that doesn't preclude you from finding your own emotional and sexual needs.
The divorce process causes great emotional distress to both parties and if there are children involved, it just makes it that much harder.
Everybody deals with marriage failure in their own way; some "swear off" forming an emotional attachment to another person again, while some will go through marriage after marriage and think nothing of it.
I don't think that there is anything wrong with remaining "single"; there are lots of single people living together and functioning the same as a married couple without all of the legal entanglements of marriage.
So, I would say, if you are contemplating marriage, go slow and be very careful because it is very easy to get in over your head and be back in the same shape as you were.
Once burned, twice as shy!