What is x when 77 divided by x equals 14?

To find the answer, just divide the dividend by the quotient: 77 ÷ 14 = 5.5

To prove this, let's compute 77 divided by 5.5: $\frac{77}{5.5} = 14$

How does it work?

Asking what the value of x could be when 77 divided by x gives a result of 14, is equivalent to solving the following equation:

$\frac{77}{x} = 14$

Multiply both sides by x: $\frac{77 x}{x} = 14 x$
$\frac{77 x}{x}$ is equivalent to $\frac{x}{x} \times 77$ , which simplifies to $1 \times 77$ (or just $77$ ).
Thus, the equation becomes: $77 = 14 x$
To find x, divide both sides by 14: $\frac{77}{14} = \frac{14 x}{14}$
Which gives, after simplification: $5.5 = x$ (or $x = 5.5$ )

So, if the dividend is 77 and the quotient is 14, the divisor is 5.5.