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### Course: Arithmetic (all content)>Unit 6

Lesson 13: Dividing decimals: standard algorithm

# Dividing decimals completely

Dividing decimals can be made easier by converting them into whole numbers. To do this, multiply both decimals by the same power of 10. Then, perform long division with the new whole numbers. For example, dividing 6.3 by 0.25 becomes 630 divided by 25, resulting in an answer of 25.2.

## Want to join the conversation?

• Why do we have to multiply for the both numbers with 1 with some zeros to make it whole?
• If you don't multiply both numbers by the same value, you change the relationship between the numbers and you get an incorrect result. Remember, the bar in the middle of a fraction is a division symbol. When we create equivalent fractions, we multiply both the numerator and denominator by the same number. You are basically applying this same rule. when we multiply both numbers by a power of 10 to shift the decimal points.
• hi, why do we only have to make the divisor a whole number and not the dividend?
• We could make them both whole numbers, but it’s not necessary. Once we make the divisor a whole number (and move the decimal point the same number of places in the dividend as in the divisor), it is enough to place the decimal point in the answer directly above the decimal point in the dividend and then start the long division.

Have a blessed, wonderful day!
• do you just have to throw in zeros and divide normally and you just get the answer right there
• Yes, throw in zeros so that both numbers have the same amount of decimals.
Then you can remove the decimal point and perform the division.
• So dividing decimals is techenaly like multiplication right?
• Yeah. You ca convert the decimals into fractions and divide it like that which is a bit easier if you are strong in fractions.
• the idea of comments is a pretty great one. because if I had any questions then someone else can help.
• That's true. But then again a murderer could hack your account and track your location and the next thing you'll know is you'll be on international news. You'll be famous.
• Can we divide with decimals without removing decimal points?
• Yes, you can divide without removing the decimal point IF the decimal is located in the dividend and not in the divisor. If it's also in the divisor, it'll be easier to just move the decimal points.
• why is khan academy so hard to get through there math and pass there test or anything to pass just why was khan academy made anyway it is so hard
• Khan Academy actually makes understanding concepts super easy. If you think its difficult, then that means that whatever you're learning is simplified without knowing why that works. Khan Academy teaches you how to complete operations and concepts while explaining and proving that it works.
• I keep getting 26.4, what should I do?