What is x when 39 divided by x equals 16?

To find the answer, just divide the dividend by the quotient: 39 ÷ 16 = 2.4375

To prove this, let's compute 39 divided by 2.4375: $\frac{39}{2.4375} = 16$

How does it work?

Asking what the value of x could be when 39 divided by x gives a result of 16, is equivalent to solving the following equation:

$\frac{39}{x} = 16$

Multiply both sides by x: $\frac{39 x}{x} = 16 x$
$\frac{39 x}{x}$ is equivalent to $\frac{x}{x} \times 39$ , which simplifies to $1 \times 39$ (or just $39$ ).
Thus, the equation becomes: $39 = 16 x$
To find x, divide both sides by 16: $\frac{39}{16} = \frac{16 x}{16}$
Which gives, after simplification: $2.4375 = x$ (or $x = 2.4375$ )

So, if the dividend is 39 and the quotient is 16, the divisor is 2.4375.