What is x when 53 divided by x equals 8?

To find the answer, just divide the dividend by the quotient: 53 ÷ 8 = 6.625

To prove this, let's compute 53 divided by 6.625: $\frac{53}{6.625} = 8$

How does it work?

Asking what the value of x could be when 53 divided by x gives a result of 8, is equivalent to solving the following equation:

$\frac{53}{x} = 8$

Multiply both sides by x: $\frac{53 x}{x} = 8 x$
$\frac{53 x}{x}$ is equivalent to $\frac{x}{x} \times 53$ , which simplifies to $1 \times 53$ (or just $53$ ).
Thus, the equation becomes: $53 = 8 x$
To find x, divide both sides by 8: $\frac{53}{8} = \frac{8 x}{8}$
Which gives, after simplification: $6.625 = x$ (or $x = 6.625$ )

So, if the dividend is 53 and the quotient is 8, the divisor is 6.625.