What is x when 60 divided by x equals 56?

To find the answer, just divide the dividend by the quotient: 60 ÷ 56 = 1.0714285714286

To prove this, let's compute 60 divided by 1.0714285714286: $\frac{60}{1.0714285714286} = 56$

How does it work?

Asking what the value of x could be when 60 divided by x gives a result of 56, is equivalent to solving the following equation:

$\frac{60}{x} = 56$

Multiply both sides by x: $\frac{60 x}{x} = 56 x$
$\frac{60 x}{x}$ is equivalent to $\frac{x}{x} \times 60$ , which simplifies to $1 \times 60$ (or just $60$ ).
Thus, the equation becomes: $60 = 56 x$
To find x, divide both sides by 56: $\frac{60}{56} = \frac{56 x}{56}$
Which gives, after simplification: $1.0714285714286 = x$ (or $x = 1.0714285714286$ )

So, if the dividend is 60 and the quotient is 56, the divisor is 1.0714285714286.