In fact, you CAN divide by zero. What is meant by the imprecise statement,
"You can't divide by zero."
is that the quotient of a nonzero real number divided by zero cannot be written as a number in decimal form; in other words, 1/0 is not a real number. See http://mathcentral.uregina.ca/QQ/database/QQ.09.01/james3.html
Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.