Clamp a piece of wood or MFD to the side you don’t want to splinter. Use a sharp bit, spin it fast and use light pressure.
As a general note, when you drill a pilot hole look at the final bit you are going to use. Now select a pilot drill that is approximately the same diameter as the web in the final drill.
Good luck.
Try a spur drill and use it very lightly, or make sure the drill you are using is new or very sharp but the main thing is to not put too much pressure on the drill, take your time and if your drill has an adjustable speed use a slow speed.
first the tape has to be ducktape second your drill bit is for wood not metal and it has to be sharp, do not press hard when you drilling and you be ok. if you can get to both side of the wood for drilling then you drill half way each side drill a pilot hole first