Answer: The quotient is not a number at all. It's simply undefined.
Discussion:
Consider the numbers "a" and "b" and further suppose that
a/0 = b
Multiplying both sides by 0 gives
(a/0) * 0 = b * 0
Cancelling the highlighted 0s gives a = 0!. Something is wrong here as "a" is not equal to zero! The error was produced by assuming the divison by 0 yield a number.
You will encounter this "divide by zero" matter several times in a Calculus courses.