In the teaching of "understanding of multiplication and division", it is often said that "dividing by zero is meaningless" or "dividing by zero is meaningless". Many teachers often regard it as a conclusion, emphasizing that "dividing by zero is meaningless". In fact, this is a good example to illustrate the relationship between multiplication and division. Why can't zero be divisible? This can be discussed from two aspects: first, when the dividend is zero and the divisor is zero, we can write it as 0÷0=X, which depends on what the quotient x is. According to the reciprocal operation relationship of multiplication and division, dividend = divisor × quotient, where divisor is already zero, and quotient x is equal to zero no matter what number (positive number, negative number, zero) it is multiplied by. That is, 0=0×X, so the quotient x is not fixed. X is any number multiplied by zero equals zero. We know that the results of four operations are unique, which destroys the uniqueness of the results of four operations. In this case, we simply say, "When the dividend and divisor are both zero, we can't get a fixed quotient." Second, when the dividend is not zero and the divisor is zero, we can write 5 ÷ 0 = X. No matter what the quotient X is, multiplying it by the divisor "0" will get zero, but not 5, that is, 0×X≠5 or other non-zero numbers. We simply say: "When the divisor is zero, it is' no return to capital' to test by multiplication and division." Therefore, "0" cannot appear as a divisor in the four operations. In view of the above two situations: first, dividing by zero can not get a fixed quotient; Second, dividing by zero does not return the cost. Therefore, it is meaningless to divide by zero or it is stipulated that it cannot be divided by zero.
What I understand is that 0 is inseparable and should be understood from the perspective of the answer. There are only two possibilities for dividing by 0, one is that the dividend is also 0, and the answer is that any number meets the conditions and there is no limit; The other dividend is not 0, the answer does not exist, and any number does not meet the conditions. Therefore, 0 is inseparable.
As for "any number /0 = infinity, that is, ∞", where 0 is not equal to 0 in arithmetic, it is just a variable infinitely close to 0, which is different from 0 itself.
When 0 is a divisor, that is, the dividend is divided into 0 parts, but this does not actually happen. Even if there is no dividend, it is at least part of it. So it is meaningless to divide 0.
In addition, on the other hand, if 0 is a divisor, then if it is multiplied by the quotient, it is the dividend. No matter what the quotient is, the dividend must be 0, so the dividend cannot be determined, so 0 cannot be a divisor.