What is x when 6 divided by x equals 66?

To find the answer, just divide the dividend by the quotient: 6 ÷ 66 = 0.090909090909091

To prove this, let's compute 6 divided by 0.090909090909091: $\frac{6}{0.090909090909091} = 66$

How does it work?

Asking what the value of x could be when 6 divided by x gives a result of 66, is equivalent to solving the following equation:

$\frac{6}{x} = 66$

Multiply both sides by x: $\frac{6 x}{x} = 66 x$
$\frac{6 x}{x}$ is equivalent to $\frac{x}{x} \times 6$ , which simplifies to $1 \times 6$ (or just $6$ ).
Thus, the equation becomes: $6 = 66 x$
To find x, divide both sides by 66: $\frac{6}{66} = \frac{66 x}{66}$
Which gives, after simplification: $0.090909090909091 = x$ (or $x = 0.090909090909091$ )

So, if the dividend is 6 and the quotient is 66, the divisor is 0.090909090909091.