What is x when 53 divided by x equals 15?

To find the answer, just divide the dividend by the quotient: 53 ÷ 15 = 3.5333333333333

To prove this, let's compute 53 divided by 3.5333333333333: $\frac{53}{3.5333333333333} = 15$

How does it work?

Asking what the value of x could be when 53 divided by x gives a result of 15, is equivalent to solving the following equation:

$\frac{53}{x} = 15$

Multiply both sides by x: $\frac{53 x}{x} = 15 x$
$\frac{53 x}{x}$ is equivalent to $\frac{x}{x} \times 53$ , which simplifies to $1 \times 53$ (or just $53$ ).
Thus, the equation becomes: $53 = 15 x$
To find x, divide both sides by 15: $\frac{53}{15} = \frac{15 x}{15}$
Which gives, after simplification: $3.5333333333333 = x$ (or $x = 3.5333333333333$ )

So, if the dividend is 53 and the quotient is 15, the divisor is 3.5333333333333.