What is x when 6 divided by x equals 100?

To find the answer, just divide the dividend by the quotient: 6 ÷ 100 = 0.06

To prove this, let's compute 6 divided by 0.06: $\frac{6}{0.06} = 100$

How does it work?

Asking what the value of x could be when 6 divided by x gives a result of 100, is equivalent to solving the following equation:

$\frac{6}{x} = 100$

Multiply both sides by x: $\frac{6 x}{x} = 100 x$
$\frac{6 x}{x}$ is equivalent to $\frac{x}{x} \times 6$ , which simplifies to $1 \times 6$ (or just $6$ ).
Thus, the equation becomes: $6 = 100 x$
To find x, divide both sides by 100: $\frac{6}{100} = \frac{100 x}{100}$
Which gives, after simplification: $0.06 = x$ (or $x = 0.06$ )

So, if the dividend is 6 and the quotient is 100, the divisor is 0.06.