I know that division can be represented as repeated subtraction, or as an opposite of multiplication.
For example, if we divide 6 by 2, we can say what number is multiplied by 2 gives us 6?, which in this case is number 3, and 3 is considered unique in this particular example because it is the only number that equals 6 divided by 2.
if I want to represent that same example as repeated subtraction, we say 6-2-2-2 = 0.
if we're dividing 0 by 6 using the same analogy, for example with multiplication 0 divided by 6 = 0, and 6*0 equal 0.
but when I use repeated subtraction and say 0-6 = (-6)- (6) = -12 … and so on we never reach zero, basically -∞.
So what I am missing here? Thank you.
you are defining division as the number of times one number is subtracted by another until zero or less is obtained.
The number of times $0$ is subtacted by $6$ until zero or less is obtained is $0$ because subtracting $0$ by $6$ even once results in $-6$