In algebraic terms, the division by zero is meaningless.

You can think in this way: what expression multiplied by zero gives other value than zero? The answer is simple, none.

for instance, we'll consider a polynomial of n-th order:

P(x) = `a_(1)` *`x^(n)` + `a_(2)` *`x^(n-1)` + ... + `a_(0)`

We'll divide this polynomial by 0:

P(x)/0 = ? => 0*? = P(x)

Unless P(x) reprezents zero polynomial, no other value multiplied by zero gives such a value that is different from zero.

It is not possible to divide a numerical value by 0. The answer would approach infinity.

1/4=0.25

1/2=0.5

If you continue (with smaller and smaller denominators);

1/1=01

1/0.5=2

1/0.1=10

1/0.01=100

1/0.0001=1000

As you can see the answer gets progressively larger as the denominator gets closer to zero. Therefore it approaches infinity.