What is x when 53 divided by x equals 38?

To find the answer, just divide the dividend by the quotient: 53 ÷ 38 = 1.3947368421053

To prove this, let's compute 53 divided by 1.3947368421053: $\frac{53}{1.3947368421053} = 38$

How does it work?

Asking what the value of x could be when 53 divided by x gives a result of 38, is equivalent to solving the following equation:

$\frac{53}{x} = 38$

Multiply both sides by x: $\frac{53 x}{x} = 38 x$
$\frac{53 x}{x}$ is equivalent to $\frac{x}{x} \times 53$ , which simplifies to $1 \times 53$ (or just $53$ ).
Thus, the equation becomes: $53 = 38 x$
To find x, divide both sides by 38: $\frac{53}{38} = \frac{38 x}{38}$
Which gives, after simplification: $1.3947368421053 = x$ (or $x = 1.3947368421053$ )

So, if the dividend is 53 and the quotient is 38, the divisor is 1.3947368421053.