Restate this problem in a fraction form,getting
24.9/1.5 ··· Ex.1 Multiply both the numerator and denominator by 10 to change those decimals into whole numbers,getting
24.9x10 / 1.5x10 = 249/15 ··· Ex.2 Factor both the top and bottom of Ex.2 by prime numbers, getting 249=3x83 and 15=3x5, so
Ex.2 can be rewritten and simplified crossing off the factors they have in common: 249/15=3x83 / 3x5 = 83/5 ··· Ex.3 Here, 80=5x16, so Ex.3 can be rewritten:
83/5=(80+3) / 5 = 80/5 + 3/5 =16+0.6 Thus, Ex.1 can be rewritten: 24.9/1.5=249/15=83/5=(5x16+3)/5=16+0.6=16.6
Therefore, 24.9/1.5=16.6 Q.E.D.