Yea that's true. But you also have 0 x 144,321 pencils. That's the funny thing about 0. If 12 x 0 = 0, then does 12 = 0/0? See what I mean?
x/x = 1, except in the case of x=0.
0/0=1, is false.
x/y =df (the z: x=y*z).
1/0 = (the z: 1=0*z). And, 1=0*z is true for no number z.
0/0 = (the z: 0=0*z). And, 0=0*z is true for all numbers z.
Division by 0 does not produce a unique number.
1/0 and 0/0 do not exist, even though they are defined.
There is no unique number that x/0 is, for all numbers x.