"like 5th gear to 3rd gear" .. are u crazy skipping a gear downshifting from 5 to 3? ... u are damaging ure gearbox. Its not advisable to skip a gearing position to downshift or upshift. Most commonly, skipping a gearing position when upshifting wont affect anything, just a bit vibrate on engine bay when u floor back the throttle.
Downshifting without revving engine is normal and wont affect anything, make sure u dont skip gears when downshifting. Shift down from 5 to 4 and not 5 to 3!.
You shouldn't use the engine to brake aggressively for at least two reasons:
1. You can lock the rear and skid --> control challenges,
2. Transmissions are much more expensive to replace than brakepads.
Why do we want to learn to heel toe downshift?
Quick answer - smoothness, stability, stay in gear.
You've all let the clutch out in 2nd at too high of speed right? Jerks the car forward, whine of syncros = not smooth. You can power through a corner faster then you can coast through it plus you have WAY more stability.
Impress your friends - looks cool as hell
Example: Ever tried to make a fast power maneuver after braking?? Clutch & brake is in - who knows what gear your in. Suddenly a shopping cart is coming right for your car. You need to make a quick transition from braking to getting out of the way of the cart! If you learned the "two feet in" while braking (like myself) you will have a hard time finding a gear in 1/2 a second. Grind - clutch out - maybe make it in time with some bucking? With heel toe - you are always in gear. but for a brief half second while shifting. This has made a noticeable difference for me driving a manual in traffic, and has saved my ass once or twice.
Revmatching. or Throttle blip.
The fundamentals behind a successful heel toe downshift begin with KNOWING how high to rev the car before down shifting.
1. You are in 3rd gear at 3000RPM's you want to shift into 2nd. How high do you need to bring the revs up to make a smooth transition into 2nd?
OR - I'll ask it another way to clarify.
2. You are in 3rd gear at 3000RPM's you clutch in, shift to 2nd, and let out the clutch. The whine of the transmission is heard. How high will the revs go?
The answer to questions 1 and 2 are the same. 4200RPM's Give or take a little - based on transmission.