I will first locate the queen to determine which brood box she is in first. I then take the other box and place it on a bottom board with a inner and out cover. I then find a frame with 1 day old eggs in the box thequeen is in and place it in the queenless hive in the center of the rest of the frames. Walk away and wait about 7-10 days or so and check back to see if they have built emergency queen cells and are capped. wait another 2 weeks and you should have a new queen right hive. It may take her another couple of weeks to mate and begin laying. The drawback to this method is about 45 lapse until you have a laying queen.
A better way is to do the above but have a new queen ready, do your split, wait 2-3 days and then introduce your new caged queen just like you would with a new package bees..
Hope I didnt confuse and good luck