What is x when 77 divided by x equals 38?

To find the answer, just divide the dividend by the quotient: 77 ÷ 38 = 2.0263157894737

To prove this, let's compute 77 divided by 2.0263157894737: $\frac{77}{2.0263157894737} = 38$

How does it work?

Asking what the value of x could be when 77 divided by x gives a result of 38, is equivalent to solving the following equation:

$\frac{77}{x} = 38$

Multiply both sides by x: $\frac{77 x}{x} = 38 x$
$\frac{77 x}{x}$ is equivalent to $\frac{x}{x} \times 77$ , which simplifies to $1 \times 77$ (or just $77$ ).
Thus, the equation becomes: $77 = 38 x$
To find x, divide both sides by 38: $\frac{77}{38} = \frac{38 x}{38}$
Which gives, after simplification: $2.0263157894737 = x$ (or $x = 2.0263157894737$ )

So, if the dividend is 77 and the quotient is 38, the divisor is 2.0263157894737.