What is x when 74 divided by x equals 10?

To find the answer, just divide the dividend by the quotient: 74 ÷ 10 = 7.4

To prove this, let's compute 74 divided by 7.4: $\frac{74}{7.4} = 10$

How does it work?

Asking what the value of x could be when 74 divided by x gives a result of 10, is equivalent to solving the following equation:

$\frac{74}{x} = 10$

Multiply both sides by x: $\frac{74 x}{x} = 10 x$
$\frac{74 x}{x}$ is equivalent to $\frac{x}{x} \times 74$ , which simplifies to $1 \times 74$ (or just $74$ ).
Thus, the equation becomes: $74 = 10 x$
To find x, divide both sides by 10: $\frac{74}{10} = \frac{10 x}{10}$
Which gives, after simplification: $7.4 = x$ (or $x = 7.4$ )

So, if the dividend is 74 and the quotient is 10, the divisor is 7.4.