What is x when 37 divided by x equals 38?

To find the answer, just divide the dividend by the quotient: 37 ÷ 38 = 0.97368421052632

To prove this, let's compute 37 divided by 0.97368421052632: $\frac{37}{0.97368421052632} = 38$

How does it work?

Asking what the value of x could be when 37 divided by x gives a result of 38, is equivalent to solving the following equation:

$\frac{37}{x} = 38$

Multiply both sides by x: $\frac{37 x}{x} = 38 x$
$\frac{37 x}{x}$ is equivalent to $\frac{x}{x} \times 37$ , which simplifies to $1 \times 37$ (or just $37$ ).
Thus, the equation becomes: $37 = 38 x$
To find x, divide both sides by 38: $\frac{37}{38} = \frac{38 x}{38}$
Which gives, after simplification: $0.97368421052632 = x$ (or $x = 0.97368421052632$ )

So, if the dividend is 37 and the quotient is 38, the divisor is 0.97368421052632.