What is x when 78 divided by x equals 45?

In other words, what would the divisor be if the dividend were 78 and the quotient 45?

To find the answer, just divide the dividend by the quotient: 78 ÷ 45 = 1.7333333333333

To prove this, let's compute 78 divided by 1.7333333333333: 78 1.7333333333333 = 45

How does it work?

Asking what the value of x could be when 78 divided by x gives a result of 45, is equivalent to solving the following equation:

78 x = 45

  1. Multiply both sides by x: 78 x x = 45 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 = 45 x
  4. To find x, divide both sides by 45: 78 45 = 45 x 45
  5. Which gives, after simplification: 1.7333333333333 = x (or x = 1.7333333333333 )

So, if the dividend is 78 and the quotient is 45, the divisor is 1.7333333333333.