What is x when 59 divided by x equals 56?

To find the answer, just divide the dividend by the quotient: 59 ÷ 56 = 1.0535714285714

To prove this, let's compute 59 divided by 1.0535714285714: $\frac{59}{1.0535714285714} = 56$

How does it work?

Asking what the value of x could be when 59 divided by x gives a result of 56, is equivalent to solving the following equation:

$\frac{59}{x} = 56$

Multiply both sides by x: $\frac{59 x}{x} = 56 x$
$\frac{59 x}{x}$ is equivalent to $\frac{x}{x} \times 59$ , which simplifies to $1 \times 59$ (or just $59$ ).
Thus, the equation becomes: $59 = 56 x$
To find x, divide both sides by 56: $\frac{59}{56} = \frac{56 x}{56}$
Which gives, after simplification: $1.0535714285714 = x$ (or $x = 1.0535714285714$ )

So, if the dividend is 59 and the quotient is 56, the divisor is 1.0535714285714.