What is x when 49 divided by x equals 38?

To find the answer, just divide the dividend by the quotient: 49 ÷ 38 = 1.2894736842105

To prove this, let's compute 49 divided by 1.2894736842105: $\frac{49}{1.2894736842105} = 38$

How does it work?

Asking what the value of x could be when 49 divided by x gives a result of 38, is equivalent to solving the following equation:

$\frac{49}{x} = 38$

Multiply both sides by x: $\frac{49 x}{x} = 38 x$
$\frac{49 x}{x}$ is equivalent to $\frac{x}{x} \times 49$ , which simplifies to $1 \times 49$ (or just $49$ ).
Thus, the equation becomes: $49 = 38 x$
To find x, divide both sides by 38: $\frac{49}{38} = \frac{38 x}{38}$
Which gives, after simplification: $1.2894736842105 = x$ (or $x = 1.2894736842105$ )

So, if the dividend is 49 and the quotient is 38, the divisor is 1.2894736842105.