Division by zero is possible

in the zero ring lol ZOMG!!

>>64
of course it exists {0} with addition 0+0=0 multiplication 0x0=0
additive identity 0, 0+0 = 0, additive inverse 0 of 0 , 0 + 0 = 0 and then you have the commutativity and distributivity
0+(0+0) = (0+0)+0
0(0+0)=0x0 +0x0=(0+0)0