What is x when 60 divided by x equals 38?

To find the answer, just divide the dividend by the quotient: 60 ÷ 38 = 1.5789473684211

To prove this, let's compute 60 divided by 1.5789473684211: $\frac{60}{1.5789473684211} = 38$

How does it work?

Asking what the value of x could be when 60 divided by x gives a result of 38, is equivalent to solving the following equation:

$\frac{60}{x} = 38$

Multiply both sides by x: $\frac{60 x}{x} = 38 x$
$\frac{60 x}{x}$ is equivalent to $\frac{x}{x} \times 60$ , which simplifies to $1 \times 60$ (or just $60$ ).
Thus, the equation becomes: $60 = 38 x$
To find x, divide both sides by 38: $\frac{60}{38} = \frac{38 x}{38}$
Which gives, after simplification: $1.5789473684211 = x$ (or $x = 1.5789473684211$ )

So, if the dividend is 60 and the quotient is 38, the divisor is 1.5789473684211.