What is x when 16 divided by x equals 77?

To find the answer, just divide the dividend by the quotient: 16 ÷ 77 = 0.20779220779221

To prove this, let's compute 16 divided by 0.20779220779221: $\frac{16}{0.20779220779221} = 77$

How does it work?

Asking what the value of x could be when 16 divided by x gives a result of 77, is equivalent to solving the following equation:

$\frac{16}{x} = 77$

Multiply both sides by x: $\frac{16 x}{x} = 77 x$
$\frac{16 x}{x}$ is equivalent to $\frac{x}{x} \times 16$ , which simplifies to $1 \times 16$ (or just $16$ ).
Thus, the equation becomes: $16 = 77 x$
To find x, divide both sides by 77: $\frac{16}{77} = \frac{77 x}{77}$
Which gives, after simplification: $0.20779220779221 = x$ (or $x = 0.20779220779221$ )

So, if the dividend is 16 and the quotient is 77, the divisor is 0.20779220779221.