It is impossible to divide into zero, it is known to each school student, but much is absolutely not clear why. The reasons of this rule can be learned only in a higher educational institution, and that only if you study mathematics. In fact, the basis of the fact that it is impossible to divide into zero, not it difficult. To find out it would be to very interestingly many school students.
The reason that it is impossible to divide into zero lies in mathematics. While in arithmetics there are four main operations over numbers (this addition, subtraction, multiplication and division), in mathematics such only two of them (this addition and multiplication). They are included in definition of number. To define that such subtraction and division, it is necessary to use addition and multiplication and to bring new operations out of them. To understand this moment, it is useful to review several examples. For example, operation 10-5, from the point of view of the pupil of school, means that from number 10 number 5 is taken away. But the mathematics would answer a question of what here occurs, otherwise. This operation would be reduced to x+5=10 equation. Unknown in this task it x, it is also result of so-called subtraction. Everything happens to division similarly. It only in the same way is expressed through multiplication. At the same time, the result is just suitable number. For example, 10:5 mathematician would write down as 5*x=10. This task has the unambiguous decision. Having considered all this, it is possible to understand why it is impossible to divide into zero. Record 10:0 would turn in 0*x=10. That is, the number which at multiplication on 0 gives other number would become result. But all know the rule that any number increased by zero gives zero. This property is included in a concept about what is zero. Therefore it turns out that the task how to divide number into zero, has no decision. It is a normal situation, many tasks in mathematics have no decision. But as can seem, from this rule there is one exception. Yes, no number can be divided into zero, but zero it is possible? For example, 0*x=0. It right equality. But the problem is that on the place x there can be any number. Therefore perfect uncertainty would become result of such equation. There are no reasons to prefer any one result. Therefore zero cannot be divided into zero too. However, with similar uncertainty are able to consult in the mathematical analysis. Find out whether is not present in a problem of additional conditions thanks to which becomes possible "to disclose uncertainty" - so it is called. But in arithmetics so do not do.