 How do long division and remainders fit in with today's common core math methods for division and how do fractions fit into the mix? Join me as we explore these questions in today's episode of Mr. Mark's math adventures Hey math learners, it's Mr. Mark's your friendly neighborhood math teacher Remember it's not just about getting the right answers It's about learning and growing along the way and before we dive into today's adventure Remember to hit that subscribe button and ring the bell to stay tuned for future episodes now today We have a topic inspired by a comment from one of our friends on tick tock shout out to william for sharing this fantastic idea With william's jump start What do you say we explore this topic together and see how it can make our math journey even more exciting And as we start always feel free to use the companion worksheet It's a great tool to follow along with the episode the companion worksheets free to download link down in the description Now traditionally when we divided numbers using long division We sometimes talked about having something called a remainder leftover For example, if you divided 11 by 2 you get five with a remainder of one But let's look at this through the lens of modern mathematics and the common core approach You see in the past we stopped at the answer five with a remainder of one But what exactly is the remainder? What does with a remainder of one even mean? Well, the remainder is the part leftover after the division It's like having a piece of something that doesn't quite fit But here's where modern thinking shifts the perspective instead of seeing this leftover as just a remainder We can think of it as part of a whole a fractional part So when we say 11 divided by 2 Equals five with a remainder of one what we are really saying is 11 divided by 2 Equals five whole groups of two and one part of two or one half It's not just an extra piece or an extra step. It's a significant part of our answer This approach isn't just about changing numbers. It's about changing our mindset It helps us to see the connections between division Fractions and even decimals and now I challenge you to think about division in this new light Next time you come across a division problem with a remainder try to see the remainder as a fractional part Rather than just simply as a remainder it may be a small shift in thinking But it can open up a whole new world of understanding in mathematics Hey props to you for taking some time out of your day to do some math with me I hope you followed along and if you made mistakes, that's all good Remember that every mistake is a step towards learning something new. This has been mr. Mark signing off I'll catch you next time with another math problem. What did you think? Did you approach this problem differently? Let me know in the comments and if you enjoyed this problem Show your support by liking and sharing this video And don't forget to follow my page to stay up to date on more math related content. Until next time