Dividing Decimal

Steps for dividing decimals. Let us say we have 31.773 ÷ 5.1. Let us set this up by using long division. We have 31.773 on the inside, being divided by 5.1. One this we have to remember that we have to get rid of the decimal in the outside number. Here we will be dividing decimals with decimals So, in math dividing decimals, we have outside number of 5.1, here we need to get rid of this decimal in the outside number.

Basically we have to push this decimal point as to the right as possible. In this particular example we can only push it over one space to the right. And whatever we do to the outside number same is applicable to the inside number as well. Let us learn how to divide decimals with decimals. So since we moved our outside decimal number on space to the right, we have to do the same thing to the inside decimal. Our 5.1 becomes 51 and our 31.773 becomes 317.73. So 31.773 divided by 5.1 is exactly the same as 317.73 divided by 51.

Now because we have got the rid of the decimal in the outside number, we can just divide this using normal long division. 51 goes into 3 in 0 times, as 51 is bigger than 3, moving to the next digit. 51 goes into 31, in zeros times, again since 51 is bigger. Moving on to the next digit, 51 go into 317 how many times? Well we know that 50 goes in 300, so we can say that 51 goes into 317 about 6 times. Multiplying 6 times 1 gives 6, and 6 times 5 gives is 30. Now subtracting the two numbers we get 11, now bringing down the 7. So it is 117 now, 51 goes into 117 about 2 times. Two times one is 2, and 2 times 5 is 10. So we get 102.

Subtracting 102 from 117 remains with 15. Bringing down 3 gives us 153. Before we go further to solve this problem, we would like to place the decimal point. The decimal point moves straight up, that goes directly between the two numbers that is, 6.2. so now how many time does 51 go into 153? So we know that 50 go 3 times to get 150, so 51 may also similar ways. So 3 times 1 is 3 and 3 times 5 is 15, So 51 times 3 gives us 153.and subtracting 153 from 153 , our remainder becomes 0.  This means that we can stop, so we did took the help with dividing decimals by shifting the decimal point and made division simple and easy.