Drop your speed down below 180 and apply 75% power and you'd be fine. Any speed above 180 and you will drift like crazy. W/o the 75% power, you turn and you will still drift like crazy.
Docking is easy... Drop out, turn and line up the station (point nose right in front of the mail slot where you expect to make the turn), boost once, 7.5km request docking, wait until 5 to 6 km out (90 degree alignment, 5km, 45 degree, 5.5km, straight on 6km), then reduce throttle slightly (90%), wait... DO NOT TURN, until you are almost at the extension line of the mail slot, your speed should be about 180m/s. Do not turn unless your speed is about 180 or below. Reduce throttle to the middle of blue zone, and turn to align with the mail slot. If your docking pad is the first row, further reduce speed to about 50 (anticipate to reduce to 50 as soon as you pass the mail slot completely. I often do full reverse for a brief second as soon as I pass the mail slot and turn into the pad). If last row, speed up to 100 to save time.
That's it. Works every time for me.
If you unfortunately drop out behind the station, i.e. you screw up your approach, then just point your nose right at the edge of the station front surface, just enough so you can pass to the front. Boost! Then reduce throttle to 90%, wait until you are about 4km out, full reverse. DO NOT TURN... your speed should be about 180 when you are almost lined up to the extension line of the mail slot. Again, reduce speed to middle of blue zone, and turn to align... the rest is the same.
Of course, the above procedures assume you put 4 pips to the ENG. And yes, I have a 7A Thruster.
And one more trick... if you find yourself coming in too hot... drop your landing gear and use it as a speed brake. Your drop your landing gear, the speed drop like a rock quick. I know this doesn't make sense for airless space flight, but that's how the game mechanics work. Don't ask me why. You can always retract the landing gear to regain speed and reduce the chance of tangling your landing gear at the mail slot.
Edit: One more trick. Sometimes, I find myself coming in way too hot, so hot that even the landing gear air brake trick won't cut it, like in the situation where there is an NPC Elite 'Conda on my tail and I am trying to get him killed by the station. I would intentionally scrape the mail slot with my Cutter's bottom (landing gear up, of course), b/c I have shield. That would drastically reduce my speed in no time (plus a little manageable bounce).