What is x when 6 divided by x equals 16?

To find the answer, just divide the dividend by the quotient: 6 ÷ 16 = 0.375

To prove this, let's compute 6 divided by 0.375: $\frac{6}{0.375} = 16$

How does it work?

Asking what the value of x could be when 6 divided by x gives a result of 16, is equivalent to solving the following equation:

$\frac{6}{x} = 16$

Multiply both sides by x: $\frac{6 x}{x} = 16 x$
$\frac{6 x}{x}$ is equivalent to $\frac{x}{x} \times 6$ , which simplifies to $1 \times 6$ (or just $6$ ).
Thus, the equation becomes: $6 = 16 x$
To find x, divide both sides by 16: $\frac{6}{16} = \frac{16 x}{16}$
Which gives, after simplification: $0.375 = x$ (or $x = 0.375$ )

So, if the dividend is 6 and the quotient is 16, the divisor is 0.375.