What is x when 81 divided by x equals 38?

To find the answer, just divide the dividend by the quotient: 81 ÷ 38 = 2.1315789473684

To prove this, let's compute 81 divided by 2.1315789473684: $\frac{81}{2.1315789473684} = 38$

How does it work?

Asking what the value of x could be when 81 divided by x gives a result of 38, is equivalent to solving the following equation:

$\frac{81}{x} = 38$

Multiply both sides by x: $\frac{81 x}{x} = 38 x$
$\frac{81 x}{x}$ is equivalent to $\frac{x}{x} \times 81$ , which simplifies to $1 \times 81$ (or just $81$ ).
Thus, the equation becomes: $81 = 38 x$
To find x, divide both sides by 38: $\frac{81}{38} = \frac{38 x}{38}$
Which gives, after simplification: $2.1315789473684 = x$ (or $x = 2.1315789473684$ )

So, if the dividend is 81 and the quotient is 38, the divisor is 2.1315789473684.