Currently, the closest known black hole to Earth is between 1600-24000 light years away.
Even if we do send a drone travelling at the speed of light, it would reach the black hole long after we are all dead.
However, let's assume that NASA has some spare cash and decides to go forward with such an endeavour and send a miniature spaceship straight into the black hole's direction, so that future generations can study it more closely.
What will the natural processes be as the drone approaches the black hole or enters it (is this even possible)? Will it just be smashed like a pancake due to the high gravity as it approaches?