Check all patients at day start, look for ones that already has high level of information (complete, you even get days with guaranteed patients (remember to trigger the first tag to change to diagnose, use another patient, so you don't waste time, sometimes Complete patient's only has one diagnose, so check the wheel to see if there is more than one.)
You walk up to a patient, do do the body scan, take temp and swap task as they come up in the list.
When the Body/temp/etc. one switches to X-ray/Run, you do the Analyze task, then if you get a result, do the record on the computer task.
Now your ready to go back and do the X-ray/Run test.
Is the patient ready to be diagnosed? No, run the body scan/take temp on another patient, then do the x-ray/run test on the first victim, err I mean patient.
Logic is the only skill that seems to be used, but I'm not sure if this is true.
I do update patient records on the computer at the end of the day, I'm not sure what difference it makes or what it does, but I do it just in case it *saves* information, so I can continue the next work day, instead of having to start over on unfinished patients.
With this rotation, I can finish up getting a gold badge, before the time starts showing the red warning.
Edit: If you start on a patient with Brighten Day or whatever, to get a chat going, that makes the Doctor sim stick better to patients and you work on social, many times if you don't do another social, by the time you queue analyze sample, the sim auto breaks the chat.
Other options is religiously using the pause key.
Strangely, my sim first action of the day was going for that radio, at home she had no music, but a party forced me to buy one, and she listened to it a lot, now she wants to do something else at work to run away from work.