What is x when 77 divided by x equals 16?

To find the answer, just divide the dividend by the quotient: 77 ÷ 16 = 4.8125

To prove this, let's compute 77 divided by 4.8125: $\frac{77}{4.8125} = 16$

How does it work?

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

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

Multiply both sides by x: $\frac{77 x}{x} = 16 x$
$\frac{77 x}{x}$ is equivalent to $\frac{x}{x} \times 77$ , which simplifies to $1 \times 77$ (or just $77$ ).
Thus, the equation becomes: $77 = 16 x$
To find x, divide both sides by 16: $\frac{77}{16} = \frac{16 x}{16}$
Which gives, after simplification: $4.8125 = x$ (or $x = 4.8125$ )

So, if the dividend is 77 and the quotient is 16, the divisor is 4.8125.