I'm sorry for not perfect english. In time I'll do a good quality translate. If you could not get anything please feel free to contact me in comments. I will answer you as soon as possible.
Remote stopped working on the car stereo . Let us examine it and see what's inside.
LED fell off from the board with copper conductors . Soldered to the old place has not come out .
Pull out the internal card for convenience .
Strip the remaining parts of the copper tracks, which went to the LED, and zaludit them .
LED also need to prepare . The first step is to take off the excess tin conclusions using a soldering iron . Then it bend the "feet" so that they correspond to the direction of those remaining parts of the conductors on the board. At least approximately, to be able to solder .
Diode remains neatly soldered to the board. It is desirable that it matches the original, to avoid problems later in the assembly housing.
It turned out not very reliable ... To LED soon fell back again, you can secure it further glue.