What is x when 10 divided by x equals 53?

To find the answer, just divide the dividend by the quotient: 10 ÷ 53 = 0.18867924528302

To prove this, let's compute 10 divided by 0.18867924528302: $\frac{10}{0.18867924528302} = 53$

How does it work?

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

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

Multiply both sides by x: $\frac{10 x}{x} = 53 x$
$\frac{10 x}{x}$ is equivalent to $\frac{x}{x} \times 10$ , which simplifies to $1 \times 10$ (or just $10$ ).
Thus, the equation becomes: $10 = 53 x$
To find x, divide both sides by 53: $\frac{10}{53} = \frac{53 x}{53}$
Which gives, after simplification: $0.18867924528302 = x$ (or $x = 0.18867924528302$ )

So, if the dividend is 10 and the quotient is 53, the divisor is 0.18867924528302.