This method works better than methods like orange fast, or other dedicated cleaners made for cleaning greasy hands.
This trick I actually learned from my fiance which is used in the make up world, and it works!
You use oil to clean oil, instead of trying to use water to clean oil (such as soap+water).
You can use any regular cooking oil or coconut oil. First you pour the oil in your hands, scrub the grease which gets lifted and mixed with the cooking oil, then you take regular soap and wash off the cooking oil off your hands.
This method has removed the absolute toughest grease from my body that multiple washes with orange fast was not able to remove. Its cheap, easy, and fast, and moisturizes your hands in the process.