Partial Quotient Method Of Division | Multiplication And Division | Arithmetic | Khan Academy

An alternate to traditional long division

Watch the next lesson:

Missed the previous lesson?

Arithmetic on Khan Academy: So you’re ready to have some arithmetic fun? You’ve come to the right spot! It’s the first “official” math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We’ll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don’t stop there. We’ll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started?

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We’ve also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to KhanAcademy’s Arithmetic channel:
Subscribe to KhanAcademy:

34 thoughts

  1. @keyloggerable1
    But the second one can easily be in the head, while the first one is quite hard without paper. It took me around 15 seconds to divide this with the second method without pen and paper.
    So “fuzzy” is quite useful! 😉

  2. @vpletap
    You’re right, could be confusing. It should at least not be taught at the same time. The methods that follow strict rules first, and sometime later the “mental exercises”. It’s just that there are many tricks for addition/multiplication/division that help you get a feeling for numbers. E. g. it’s a real timesaver, if you can get estimates very close and fast in your head. Actually maybe those fuzzy methods should be taught/used in other classes and NOT the math class.

  3. the kids find this to be a waste of their time. they only want one method. makes sense to me unless u simply love playing with numbers. i can do this in my head without all this verbal carry on.

  4. i used this today because i heard the line “you ask me where the hell i’m going
    at a thousand feet per second” in a radiohead song and i wanted to know what that was in miles per hour. 🙂 this method saved me from having to work out the products of 5280 x 2 through 9 beforehand. very useful method for when you have a big divisor. i can’t believe anyone would complain about having more tools at their disposal, but i guess it is youtube…

  5. 1376 is simply factorised to 43×32, so 1388=12 + 43x16x2, with divisor 16, modular 86 and remainder 12.

  6. I don’t have kids in school, and am trying to find a video that teaches “Common Core division” that is being taught in school right now.  Is that the 2nd example, or is it another process?  If it is, do you know of a video that explains it? Thank you!!

  7. Thanks a lot. Now I can explain this to my son. I actually do math like this in my head, but I didn’t realize it was a “method.”

  8. Wow I’ve Ben getting F,s in math on my second report card but when I watched this 5 times I got a D thx so much 😀

Comments are closed.