What is x when 77 divided by x equals 5?

To find the answer, just divide the dividend by the quotient: 77 ÷ 5 = 15.4

To prove this, let's compute 77 divided by 15.4: $\frac{77}{15.4} = 5$

How does it work?

Asking what the value of x could be when 77 divided by x gives a result of 5, is equivalent to solving the following equation:

$\frac{77}{x} = 5$

Multiply both sides by x: $\frac{77 x}{x} = 5 x$
$\frac{77 x}{x}$ is equivalent to $\frac{x}{x} \times 77$ , which simplifies to $1 \times 77$ (or just $77$ ).
Thus, the equation becomes: $77 = 5 x$
To find x, divide both sides by 5: $\frac{77}{5} = \frac{5 x}{5}$
Which gives, after simplification: $15.4 = x$ (or $x = 15.4$ )

So, if the dividend is 77 and the quotient is 5, the divisor is 15.4.