What is x when 78 divided by x equals 90?

In other words, what would the divisor be if the dividend were 78 and the quotient 90?

To find the answer, just divide the dividend by the quotient: 78 ÷ 90 = 0.86666666666667

To prove this, let's compute 78 divided by 0.86666666666667: 78 0.86666666666667 = 90

How does it work?

Asking what the value of x could be when 78 divided by x gives a result of 90, is equivalent to solving the following equation:

78 x = 90

  1. Multiply both sides by x: 78 x x = 90 x
  2. 78 x x is equivalent to x x × 78 , which simplifies to 1 × 78 (or just 78 ).
  3. Thus, the equation becomes: 78 = 90 x
  4. To find x, divide both sides by 90: 78 90 = 90 x 90
  5. Which gives, after simplification: 0.86666666666667 = x (or x = 0.86666666666667 )

So, if the dividend is 78 and the quotient is 90, the divisor is 0.86666666666667.