*Contributor: Meghan Vestal. Lesson ID: 11811*

Does the thought of dividing numbers with decimals devastate you? Don't let that decimate your math progress! There is "zero" difficulty with decimals, so learn the simple steps to decimal success!

categories

subject

Math

learning style

Visual

personality style

Lion, Beaver

Grade Level

Intermediate (3-5), Middle School (6-8)

Lesson Type

Dig Deeper

- How would you solve the following problem?

- What's with that little dot after the 137?

Sometimes you will encounter a long division problem with a *decimal* in the dividend.

Solving a division problem with a decimal in the dividend is almost exactly the same as solving a division problem without a decimal.

Set up the problem the same way you normally would. Then, solve the problem using the same steps you normally would — pretend the decimal is not even there while you are solving.

If you need a refresher on the steps to solving a long division problem, go back to the first **Related Lesson** in this *Long Division* series, found in the right-hand sidebar.

When you are finished, move the decimal straight up above the dividing line into the quotient:

If you have a remainder, see if you can divide the dividend evenly *without* a remainder. How? Here's how:

- To do this, add a 0 to the end of the dividend.
- Bring the 0 down and continue solving.
- If you add two zeros to the dividend and still have not found an even quotient, write the remainder at the top of the problem.
- If, after adding two zeros, you still do not have an even answer, it is likely the problem will keep going for a while.
- It is important to remember that you can ONLY do this when there is a decimal in the dividend. When you add a 0 behind a decimal, it does not change the value of the number. You could add 100 zeros behind a decimal and the value would never change, but adding a 0 to a
*whole number*significantly changes its value.

Adding remainders and decimals to a division problem may just seem like you are adding more steps to an already complicated process, but once you master the basics, adding these steps is simple.

Move on to the *Got It?* section to practice solving division problems with decimals.