Which of the following statements is true regarding division by zero?

When considering the concept of division by zero, it is important to understand the mathematical foundations that define it. Division is fundamentally the process of determining how many times one number can be subtracted from another. For example, dividing a number by another means finding how many times the divisor can fit into the dividend without exceeding it.

However, when the divisor is zero, the operation leads to an undefined scenario. No number can be multiplied by zero to yield a non-zero number, which means you cannot divide by zero in a meaningful or productive way. Therefore, division by zero does not yield a number, whether it be zero, infinity, or any other value, making it an impossible operation in standard mathematics.

This understanding underpins the assertion that division by zero is always impossible. The other statements, while they present various notions about division by zero, do not align with established mathematical principles. Therefore, the assertion regarding the impossibility of division by zero is the only accurate statement among the choices provided.