What is x when 49 divided by x equals 56?

To find the answer, just divide the dividend by the quotient: 49 ÷ 56 = 0.875

To prove this, let's compute 49 divided by 0.875: $\frac{49}{0.875} = 56$

How does it work?

Asking what the value of x could be when 49 divided by x gives a result of 56, is equivalent to solving the following equation:

$\frac{49}{x} = 56$

Multiply both sides by x: $\frac{49 x}{x} = 56 x$
$\frac{49 x}{x}$ is equivalent to $\frac{x}{x} \times 49$ , which simplifies to $1 \times 49$ (or just $49$ ).
Thus, the equation becomes: $49 = 56 x$
To find x, divide both sides by 56: $\frac{49}{56} = \frac{56 x}{56}$
Which gives, after simplification: $0.875 = x$ (or $x = 0.875$ )

So, if the dividend is 49 and the quotient is 56, the divisor is 0.875.