What is x when 60 divided by x equals 66?

To find the answer, just divide the dividend by the quotient: 60 ÷ 66 = 0.90909090909091

To prove this, let's compute 60 divided by 0.90909090909091: $\frac{60}{0.90909090909091} = 66$

How does it work?

Asking what the value of x could be when 60 divided by x gives a result of 66, is equivalent to solving the following equation:

$\frac{60}{x} = 66$

Multiply both sides by x: $\frac{60 x}{x} = 66 x$
$\frac{60 x}{x}$ is equivalent to $\frac{x}{x} \times 60$ , which simplifies to $1 \times 60$ (or just $60$ ).
Thus, the equation becomes: $60 = 66 x$
To find x, divide both sides by 66: $\frac{60}{66} = \frac{66 x}{66}$
Which gives, after simplification: $0.90909090909091 = x$ (or $x = 0.90909090909091$ )

So, if the dividend is 60 and the quotient is 66, the divisor is 0.90909090909091.