What is x when 53 divided by x equals 5?

To find the answer, just divide the dividend by the quotient: 53 ÷ 5 = 10.6

To prove this, let's compute 53 divided by 10.6: $\frac{53}{10.6} = 5$

How does it work?

Asking what the value of x could be when 53 divided by x gives a result of 5, is equivalent to solving the following equation:

$\frac{53}{x} = 5$

Multiply both sides by x: $\frac{53 x}{x} = 5 x$
$\frac{53 x}{x}$ is equivalent to $\frac{x}{x} \times 53$ , which simplifies to $1 \times 53$ (or just $53$ ).
Thus, the equation becomes: $53 = 5 x$
To find x, divide both sides by 5: $\frac{53}{5} = \frac{5 x}{5}$
Which gives, after simplification: $10.6 = x$ (or $x = 10.6$ )

So, if the dividend is 53 and the quotient is 5, the divisor is 10.6.