If you're looking for a meeting place or a good stop around ½ or halfway between Fort Lauderdale and Doral, you can try Carol City, FL, which is about half an hour southwest of Fort Lauderdale, or about half an hour northeast of Doral.
About ¼ or a fourth of the way, you can stop at Hollywood, FL. This is about 11 minutes south of Fort Lauderdale.
About ¾ or three fourths of the way, you can stop at Miami Lakes, FL. This is about half an hour southwest of Fort Lauderdale, or about 11 minutes northeast of Doral.
If you drive straight through without stopping at all, the total distance is 34 miles. The distances shown above don't include local roads to get into each town, so if you're planning a long road trip, make sure you factor in traffic and road conditions, rest stop breaks, and interesting detours along the way. If you're in a rush, you can do the trip with zero stops, and your total travel time would be around 46 minutes.