Dividing by zero is not possible in standard arithmetic. Here's why:
1. Dividing by Zero: When you try to divide a number by zero (e.g., a over 0), the operation is undefined. Division is the inverse of multiplication, so for a over b equates to c to hold, it must be true that b times c equates to a. If be is equivalent to zero, no value for c satisfies this equation (because any number multiplied by zero is zero), which makes the division undefined.
2. Dividing Zero by Itself: Dividing zero by zero, written as zero over zero, is also undefined. The reason is that there is no unique value for c that satisfies zero times c equates to zero. Every number could potentially work because is true for all values of c. Therefore, zero over zero is indeterminate, and its value cannot be determined.
TL;DR division by zero is undefined, and dividing zero by itself leads to an indeterminate form.
