What is x when 77 divided by x equals 4?

To find the answer, just divide the dividend by the quotient: 77 ÷ 4 = 19.25

To prove this, let's compute 77 divided by 19.25: $\frac{77}{19.25} = 4$

How does it work?

Asking what the value of x could be when 77 divided by x gives a result of 4, is equivalent to solving the following equation:

$\frac{77}{x} = 4$

Multiply both sides by x: $\frac{77 x}{x} = 4 x$
$\frac{77 x}{x}$ is equivalent to $\frac{x}{x} \times 77$ , which simplifies to $1 \times 77$ (or just $77$ ).
Thus, the equation becomes: $77 = 4 x$
To find x, divide both sides by 4: $\frac{77}{4} = \frac{4 x}{4}$
Which gives, after simplification: $19.25 = x$ (or $x = 19.25$ )

So, if the dividend is 77 and the quotient is 4, the divisor is 19.25.