I would suggest you use Pope strategy until modern age or mid-industrial. That means, setting your tech rate to 0%. Only use one scientist to get 1 tech every 40 turns.
AI develops early techs at a blitzering speed. But you can always buy them with a little money if ALL other civs in the world owns the tech. As I remember, the price for Map Making would be around 100 gold pieces in a standard map with full house AIs. It would be only about 70 in a small map. You can even use the buy-from-one, sell to others strategy, though you would have to pay more.
Next, when you decided that you are powerful enough to do your own research, you pray the AI to be dragged in warfare. AI in warfare is SO dumb, especially after the godsend Artillery is available, they don't know how to use firepower! And if in war their tech rate would be slowed down greatly, giving you a chance to catch up.
If they stay peace with each other, try drag them in war. For example, you can sign a MPP with some one civ and go war with another civ. The AI civs are always eager to find alliances so the war will soon become a world level one. Then you can use those tactics like 'smoke n mirror', or the name 'puppet strings' which came from Sirian to get them off your land. This way they will war forever and you can develop your techs meanwhile.
While developing your own techs, try to look at the more backward AI's status, it might possess some tech you want, but some techs you can discover may not be in their possession. So you just study and trade your tech to them. In this way you can save much development time.
Much of this strategy came from the GOTM 7 Spoiler thread, I would suggest you to read that one if you want to learn more about deity.