What is x when 59 divided by x equals 100?

To find the answer, just divide the dividend by the quotient: 59 ÷ 100 = 0.59

To prove this, let's compute 59 divided by 0.59: $\frac{59}{0.59} = 100$

How does it work?

Asking what the value of x could be when 59 divided by x gives a result of 100, is equivalent to solving the following equation:

$\frac{59}{x} = 100$

Multiply both sides by x: $\frac{59 x}{x} = 100 x$
$\frac{59 x}{x}$ is equivalent to $\frac{x}{x} \times 59$ , which simplifies to $1 \times 59$ (or just $59$ ).
Thus, the equation becomes: $59 = 100 x$
To find x, divide both sides by 100: $\frac{59}{100} = \frac{100 x}{100}$
Which gives, after simplification: $0.59 = x$ (or $x = 0.59$ )

So, if the dividend is 59 and the quotient is 100, the divisor is 0.59.