What is x when 59 divided by x equals 45?

To find the answer, just divide the dividend by the quotient: 59 ÷ 45 = 1.3111111111111

To prove this, let's compute 59 divided by 1.3111111111111: $\frac{59}{1.3111111111111} = 45$

How does it work?

Asking what the value of x could be when 59 divided by x gives a result of 45, is equivalent to solving the following equation:

$\frac{59}{x} = 45$

Multiply both sides by x: $\frac{59 x}{x} = 45 x$
$\frac{59 x}{x}$ is equivalent to $\frac{x}{x} \times 59$ , which simplifies to $1 \times 59$ (or just $59$ ).
Thus, the equation becomes: $59 = 45 x$
To find x, divide both sides by 45: $\frac{59}{45} = \frac{45 x}{45}$
Which gives, after simplification: $1.3111111111111 = x$ (or $x = 1.3111111111111$ )

So, if the dividend is 59 and the quotient is 45, the divisor is 1.3111111111111.