What is x when 9 divided by x equals 78?

In other words, what would the divisor be if the dividend were 9 and the quotient 78?

To find the answer, just divide the dividend by the quotient: 9 ÷ 78 = 0.11538461538462

To prove this, let's compute 9 divided by 0.11538461538462: 9 0.11538461538462 = 78

How does it work?

Asking what the value of x could be when 9 divided by x gives a result of 78, is equivalent to solving the following equation:

9 x = 78

  1. Multiply both sides by x: 9 x x = 78 x
  2. 9 x x is equivalent to x x × 9 , which simplifies to 1 × 9 (or just 9 ).
  3. Thus, the equation becomes: 9 = 78 x
  4. To find x, divide both sides by 78: 9 78 = 78 x 78
  5. Which gives, after simplification: 0.11538461538462 = x (or x = 0.11538461538462 )

So, if the dividend is 9 and the quotient is 78, the divisor is 0.11538461538462.