What is x when 74 divided by x equals 16?

To find the answer, just divide the dividend by the quotient: 74 ÷ 16 = 4.625

To prove this, let's compute 74 divided by 4.625: $\frac{74}{4.625} = 16$

How does it work?

Asking what the value of x could be when 74 divided by x gives a result of 16, is equivalent to solving the following equation:

$\frac{74}{x} = 16$

Multiply both sides by x: $\frac{74 x}{x} = 16 x$
$\frac{74 x}{x}$ is equivalent to $\frac{x}{x} \times 74$ , which simplifies to $1 \times 74$ (or just $74$ ).
Thus, the equation becomes: $74 = 16 x$
To find x, divide both sides by 16: $\frac{74}{16} = \frac{16 x}{16}$
Which gives, after simplification: $4.625 = x$ (or $x = 4.625$ )

So, if the dividend is 74 and the quotient is 16, the divisor is 4.625.