Dividing decimals may seem intimidating without a calculator, but with a little practice, you can become an expert at performing these calculations by hand. Here’s a step-by-step guide to dividing decimals without using any electronic aids.

1. Write down the problem

Start by writing the divisor (the number you’re going to divide by) and the dividend (the number being divided) on paper or a whiteboard. Make sure you keep everything organized to avoid confusion later on. For example, if you want to divide 6.4 by 2.4, write it down like this:

6.4

2.4

2. Remove decimal points

To make the process easier, remove the decimal points from both numbers by turning them into whole numbers. Start with the divisor and determine how many places you need to move the decimal point to convert it into a whole number.

In our example, move the decimal point one place to the right in 2.4 to get 24:

64

24

Since we moved the decimal point one place in the divisor, do the same with the dividend – so 6.4 becomes 64.

3. Divide whole numbers

Now divide the whole numbers in long division format:

____

24|64

Place your first estimate above like a regular division problem and continue with long division rules.

__2__

24|64

-48

16

After subtracting, we get a difference of 16.

4. Write down and adjust decimal point

We moved every decimal point one space to get whole numbers in step two; thus, it’s time to add it back into our quotient (the result of our division). Since both dividend and divisor moved their decimal point one space, there’s no further adjustment needed. Add a decimal point above the line:

2._____

24|64

5. Check for remainders

If you have a remainder after completing the long division (in our example, it was 16), you need to add a decimal and a zero after the remainder:

2._

24|64.0

Now, draw another line below and continue with the division steps.

2.6

24|64.0

-48

160

6. Finish the process

Continue dividing until there is no remainder or until desired decimal places are reached. In our example, the long division is finished as we don’t have any remainders:

2.6667

24|64.0

-48

160

-144

==========

16

So, dividing 6.4 by 2.4 gives us approximately 2.6667.

Conclusion

Dividing decimals might seem daunting at first glance, but following these six steps will help you master this skill without relying on a calculator. The key is to stay organized and practice until you become comfortable with the process. Happy dividing!