Sterilize all the utensils either using a sterilizer or by placing the utensils in boiling hot water.
Select a Medium sized carrot.
Peel the skin.
With a handy grater, grate the carrot. (a grater that has small holes is preferred)
After washing your hands with disinfectant, take the grated carrot in your palm, make a fist and squeeze the carrot so that the juice can be collected in a cup underneath.
Squeeze the juice out of the carrot till only the chaff remains.
Notes
If you feel it is very thick then a spoon cooled and boiled water can be added