What is x when 59 divided by x equals 60?

To find the answer, just divide the dividend by the quotient: 59 ÷ 60 = 0.98333333333333

To prove this, let's compute 59 divided by 0.98333333333333: $\frac{59}{0.98333333333333} = 60$

How does it work?

Asking what the value of x could be when 59 divided by x gives a result of 60, is equivalent to solving the following equation:

$\frac{59}{x} = 60$

Multiply both sides by x: $\frac{59 x}{x} = 60 x$
$\frac{59 x}{x}$ is equivalent to $\frac{x}{x} \times 59$ , which simplifies to $1 \times 59$ (or just $59$ ).
Thus, the equation becomes: $59 = 60 x$
To find x, divide both sides by 60: $\frac{59}{60} = \frac{60 x}{60}$
Which gives, after simplification: $0.98333333333333 = x$ (or $x = 0.98333333333333$ )

So, if the dividend is 59 and the quotient is 60, the divisor is 0.98333333333333.