What is x when 53 divided by x equals 10?

To find the answer, just divide the dividend by the quotient: 53 ÷ 10 = 5.3

To prove this, let's compute 53 divided by 5.3: $\frac{53}{5.3} = 10$

How does it work?

Asking what the value of x could be when 53 divided by x gives a result of 10, is equivalent to solving the following equation:

$\frac{53}{x} = 10$

Multiply both sides by x: $\frac{53 x}{x} = 10 x$
$\frac{53 x}{x}$ is equivalent to $\frac{x}{x} \times 53$ , which simplifies to $1 \times 53$ (or just $53$ ).
Thus, the equation becomes: $53 = 10 x$
To find x, divide both sides by 10: $\frac{53}{10} = \frac{10 x}{10}$
Which gives, after simplification: $5.3 = x$ (or $x = 5.3$ )

So, if the dividend is 53 and the quotient is 10, the divisor is 5.3.