Dividing Decimals



How to Divide Decimals

Two Parts:

If a few decimals are making division challenging for you, simplify the process by learning how to move the decimals. By moving the decimal of the divisor, you'll be dividing by a whole number. Just remember to also move the decimal for the number that you want to divide. Then check your work to ensure that you've placed the decimals properly and gotten the correct answer.

Steps

Dividing with Decimals

  1. Find the divisor.This is the number that's being divided by. So if you have an equation such as 22.5 ÷ 15.2, 15.2 is this divisor. If the numbers are separated by a dividing line, the divisor is the number to the left of the bracket.
  2. Locate the dividend.The dividend is the number that's being divided. For example, if your decimals are written like 22.5 ÷ 15.2, then 22.5 is the dividend.
    • If the numbers are separated by a dividing line, then the dividend is the number to the right of the bracket.
  3. Calculate the problem to get the quotient.When you divide the dividend by the divisor, the answer you get is called the quotient. This can be written above the dividing line.
    • For example, the quotient of 22.5 ÷ 15.2 is 1.48.

Checking Your Results

  1. Move the decimal if the divisor is a decimal.If your divisor has a decimal, move the decimal to the right until it's a whole number. For example, if the divisor is 0.05 move the decimal two places to the right to get 5.
    • If you have more than 1 number after the decimal, keep moving the decimal until the number is whole. For example, with 43.52 the decimal will move 2 places so you get 4352.
    • If your divisor is a whole number, you don't need to move the decimal.
  2. Move the decimal for the dividend if necessary.If you moved the decimal for the divisor, you also need to move the decimal for the dividend. Move it the same number of places. This may mean that you'll need to add zeroes if necessary.
    • For example, if you have 4.5 ÷ 0.05 and you move the decimal by 2 places, you'll get 450 ÷ 5.
    • Consider rewriting the problem so you don't make simple errors.
  3. Move the decimal point directly up above the division bar.Place the decimal point right above the decimal point that's in the dividend.
    • So if you moved the decimal 2 places to the right, it would be above the bar and right after the 0 below it.
  4. Divide the problem as usual.Work from left to right and see how many times the divisor can go into the dividend. Place the quotient above the line and don't move the decimal point.
    • For example, since 5 doesn't go into 4, see how many times it goes into 45. Because 5 goes into 45 nine times, place a 9 above the line followed by a zero.
  5. Check your work with a calculator or by multiplying.If you need to show your work, multiply the quotient you got by the original divisor. You should get the original dividend if you've divided the problem correctly.
    • For example, to check 4.5 ÷ 0.05 = 90, check to see that 90 x 0.05 = 4.5.

Community Q&A

Search
  • Question
    How do I divide and check?
    wikiHow Contributor
    Community Answer
    Multiply your answer to the division problem by the number you divided by. You should come up with the number you divided if you did both operations correctly.
    Thanks!
  • Question
    How do I divide with fractions?
    Top Answerer
    If you want to divide a fraction into another number, invert the fraction and multiply it by the other number.
    Thanks!
  • Question
    What is 420 divided by 0.05?
    Top Answerer
    420/.05 = 8400
    Thanks!
  • Question
    What about 4.5 divided by 9? I get 2, but the answer is .5. Why?
    Top Answerer
    You solved 9 divided by 4.5. 4.5 divided by 9 is .5 (.5 is one half).
    Thanks!
  • Question
    What's 4.25 as a decimal?
    Top Answerer
    It's 4 1/4.
    Thanks!
  • Question
    What do I do with a zero after the decimal point?
    wikiHow Contributor
    Community Answer
    Leave it blank or bring it up on the division bar behind the decimal point.
    Thanks!
  • Question
    What if it's something like 1.34 divided by 4?
    Top Answerer
    Ignore the decimal point at first. Perform the division, then place the decimal point in the quotient immediately above the decimal point in the dividend. (To check your work, analyze what you're trying to do. In this case you're trying to calculate one-quarter of a number slightly larger than 1, so the answer will be slightly more than one-quarter, or .25.)
    Thanks!
  • Question
    What do I do with a remainder?
    wikiHow Contributor
    Community Answer
    You add a decimal at the end of your number and then put your remainder after it.
    Thanks!
  • Question
    What is the exact value of pi?
    wikiHow Contributor
    Community Answer
    Pi is 3.14159.
    Thanks!
  • Question
    What is 6.85 divided by 1.9?
    Top Answerer
    It is identical to dividing 19 into 68.5.
    Thanks!
Unanswered Questions
  • When I divide -1.27 by (-1.7) I get 0.72 but the answer is 0.75 how is that?
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Quick Summary

To divide decimals, start by moving the decimal point in the divisor all the way to the right so it's a whole number. Then, move the decimal in the dividend the same number of places to the right. Next, place a decimal point above the division bar directly on top of the decimal point in the dividend. Finally, divide the numbers as you normally would. Remember to include the decimal point above the dividend bar in your answer.

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Date: 07.12.2018, 02:26 / Views: 62454