What is x when 60 divided by x equals 9?

To find the answer, just divide the dividend by the quotient: 60 ÷ 9 = 6.6666666666667

To prove this, let's compute 60 divided by 6.6666666666667: $\frac{60}{6.6666666666667} = 9$

How does it work?

Asking what the value of x could be when 60 divided by x gives a result of 9, is equivalent to solving the following equation:

$\frac{60}{x} = 9$

Multiply both sides by x: $\frac{60 x}{x} = 9 x$
$\frac{60 x}{x}$ is equivalent to $\frac{x}{x} \times 60$ , which simplifies to $1 \times 60$ (or just $60$ ).
Thus, the equation becomes: $60 = 9 x$
To find x, divide both sides by 9: $\frac{60}{9} = \frac{9 x}{9}$
Which gives, after simplification: $6.6666666666667 = x$ (or $x = 6.6666666666667$ )

So, if the dividend is 60 and the quotient is 9, the divisor is 6.6666666666667.