What is x when 76 divided by x equals 10?

To find the answer, just divide the dividend by the quotient: 76 ÷ 10 = 7.6

To prove this, let's compute 76 divided by 7.6: $\frac{76}{7.6} = 10$

How does it work?

Asking what the value of x could be when 76 divided by x gives a result of 10, is equivalent to solving the following equation:

$\frac{76}{x} = 10$

Multiply both sides by x: $\frac{76 x}{x} = 10 x$
$\frac{76 x}{x}$ is equivalent to $\frac{x}{x} \times 76$ , which simplifies to $1 \times 76$ (or just $76$ ).
Thus, the equation becomes: $76 = 10 x$
To find x, divide both sides by 10: $\frac{76}{10} = \frac{10 x}{10}$
Which gives, after simplification: $7.6 = x$ (or $x = 7.6$ )

So, if the dividend is 76 and the quotient is 10, the divisor is 7.6.