To divide the numbers above, first, let's make the divisor a whole number by multiplying both numbers by 1000.
[tex]\frac{0.4}{0.242}\times\frac{1,000}{1,000}=\frac{400}{242}[/tex]So, now we have 400 divided by 242. We can now proceed using the Division Algorithm.
a. Divide 400 by 242 and we get a whole number 1. There's only 1 whole 242 that we can get from 400.
b. Multiply the result 1 to 242 and we get 242.
c. Subtract the result from 400 and we get 158.
Since we have remainder 158 still, let's add another zero to the divisor and bring it down making the new number 1580.
Do the same process above from a - c but this time the number is 1580. 1580 divided by 242 is 6. Multiply 6 to 242 and we get 1452. Subtract the result from 1580 and we get 128.
*Take note that we added ".0" on the dividend. In the quotient above, we will also put "." before the result 6.
Now, this time, the last number is 128. To be able to divide 242 out from it, let's add another zero in the dividend and bring it down making the new number 1280.
Divide 1280 by 242 and we get 5. Multiply 5 by 242 and we get 1210. Subtract the result from 1280 and we get 70. See below.
If continued, the answer to this division is a nonterminating and non-repeating decimal. It is 1.652892562.... Rounding off to two decimal places, we get 1.65.
