What is x when 53 divided by x equals 30?

To find the answer, just divide the dividend by the quotient: 53 ÷ 30 = 1.7666666666667

To prove this, let's compute 53 divided by 1.7666666666667: $\frac{53}{1.7666666666667} = 30$

How does it work?

Asking what the value of x could be when 53 divided by x gives a result of 30, is equivalent to solving the following equation:

$\frac{53}{x} = 30$

Multiply both sides by x: $\frac{53 x}{x} = 30 x$
$\frac{53 x}{x}$ is equivalent to $\frac{x}{x} \times 53$ , which simplifies to $1 \times 53$ (or just $53$ ).
Thus, the equation becomes: $53 = 30 x$
To find x, divide both sides by 30: $\frac{53}{30} = \frac{30 x}{30}$
Which gives, after simplification: $1.7666666666667 = x$ (or $x = 1.7666666666667$ )

So, if the dividend is 53 and the quotient is 30, the divisor is 1.7666666666667.