You asked for a biblical reason, here one is. According to Matthew 5:31,32 "'The law of Moses says, 'If anyone wants to be rid of his wife, he can divorce her merely by giving her a letter of dismissal.' 32 But I say that a man who divorces his wife, except for fornication, causes her to commit adultery if she marries again. And he who marries her commits adultery.'"
I don't know the grounds for why the 2 of you split up, but if it was for anything other than unfaithfulness (and I consider unfaithfulness to include not only affairs but also abuse of anykind), then I don't feel that you should date again, at all. Personal opinion. Yet it says in Romans that it is better to marry than to burn with lust (sorry I don't have an exact text, but I am not able to find it. I don't have my Bible with me, and so I'm having difficulties). I feel that this text could apply even after a divorce (one that happened for reasons other than marital unfaithfulness). So if you feel you must date/marry again, I would wait until the divorce is final, otherwise it would be commiting adultry, (at least in my opinion).
