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# Why dividing zero impossible?

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Why isn't it possible to divide by zero?

Aug 2, 2019

#1
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Here's one way to figure out, for example, what is  10 ÷ 2

 __ ___ ____ 10 - 2 = 8 count  =  1 8 - 2 = 6 count  =  2 6 - 2 = 4 count  =  3 4 - 2 = 2 count  =  4 2 - 2 = 0 count  =  5

We had to subtract  2  a total of  5  times before we couldn't subtract it any more (without getting a number < 0)

Or we can say that  2  "fits into"  10  a total of  5 times.

So  10 ÷ 2  =  5

Now let's try to use the same method to figure out what is  10 ÷ 0

 __ ___ ____ 10 - 0 = 10 count  =  1 10 - 0 = 10 count  =  2 10 - 0 = 10 count  =  3 10 - 0 = 10 count  =  4 10 - 0 = 10 count  =  5 10 - 0 = 10 count  =  6 10 - 0 = 10 count  =  7 10 - 0 = 10 count  =  8 10 - 0 = 10 count  =  9 . . . . . .

We keep subtracting  0  over and over again, but we aren't getting anywhere!  This is an endless loop.

There is not a number of times that we can subtract  0  from  10  to reach a number < 0.

In other words, there is not a number that is equal to  10 ÷ 0

Aug 2, 2019
edited by hectictar  Aug 2, 2019
#2
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wow i didn't know that myself thanks hectictar

Aug 2, 2019
#3
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Thank you! There are many different ways to explain the problem with dividing by zero, but I like that way. Maybe someone else will provide another explanation. hectictar  Aug 2, 2019