 Are you teaching math? I am, I am indeed. Absolutely Aussie. What do you got? What do you got? I'm not from Australia, but do you know how to do long division? I forgot. Yeah, for sure. We can do long division Let's do long division, brother or sister, of course Long division, let's do long division. Let's do simple long division for now, right? Ronnie Chichot I think I failed this exam that I spent four months preparing for Spent countless hours after work and weekends during the summer and fall. Sadly the exam was so crushing Oh, I'm sorry to hear that Ronnie. I've had that experience. Sometimes it's just It's just not your day and there is a thing Called oversteadying as well, right? When you do too much Yeah, what exam the UK will welcome you with open arm chichot. Thank you, Hedgie. Thank you, Hedgie Thank you for the follow Gang Aussie long division. Check this out We'll do simple one. This is the example I use usually 27 divided by 2, right? If you want to do this first time chat. God bless you, man. Thank you very much Muhammad Daya Hey, you seem like a really nice person. I appreciate the good vibe. My pleasure Aussie. My pleasure. Check this out 27 divided by 2 Aussie, do you know what that is just off the top of your head? What's 27 divided by 2? If you have 27 apples and you're gonna split it between two people How many apples does each person get? That's what a fraction means, right? part of a whole or dividing something up between a certain number of people Not Muhammad. It's Mahmood. Oh Mahmood, but all good Mahmood. How are you doing 13.5? Exactly Aussie. Mahmood. How are you doing? I've had I've had friends in my life called Mahmood. I Wonder where they are now. So this is 13.5, right? Remember, you can also write 13.5 as this 13 and a half you can also write it as this 13 plus one and a half because if this guy you're gonna add 13 plus one and a half you're gonna go 13 plus 1 over 2 and that's 13 over 1. Common denominator is 2, right? What did you multiply? 1 by to give you 2. You multiply by 2. So you multiply 13 by 2. So you multiply this by 2 You get 26 plus 1 and you get back 27 over 2. Okay. I just want to clear that up. So you see the link, right? Nice to meet you as well Mahmood. Nice to meet you as well Fred, not Ronald. I'll be passing the next round. Now check this out. This is how you do long division 227. So whatever you're dividing into you put it inside the division symbol and Whatever you're dividing it by you put out here and then you ask yourself Oh, you multiply it across the denominator so that it can Like be a common denominator. Okay, that makes sense. Yeah, and you can convert this as well going this way you could go 2 times 13 is 26 plus 1 is 27, right? 27 over 2 that's the other way to convert it as well, right? But this is sort of a more visual of it, okay? Now check this out When you're doing long division, this is what you need to do. You ask yourself You take this number and you look at the first number here. You ask yourself Does 2 go into 2 and if so how many times and you say okay 2 goes into 2 once So you put your 1 there and whatever you put up here multiplies this Okay, and it's placed down here and you subtract it from this You follow that pattern. So whatever you put up here multiplies this and Then whatever the result is you put it here and you subtract it from the top, okay? So 2 minus 2 is 0 Once you hit this number, whatever this is You're into you move to the next number, right? And you can bring this number down So every number you go every step you can bring down one number, okay? See what you show. Where do you think is a good place to live in the world? Let's do this one Sleepy ways ask the question again after we finish the long division So you bring the 7 down and then ask yourself what do you multiply 2 by? To give you 7 or how many times those two? Go into 7 that's the better question You don't go home when you multiply 2 by to give you 7 you ask yourself how many times those two? Go into 7 evenly and that's three times so you put the 3 on top of the 7 and then 3 multiplies the 2 and You put it here and you subtract it from here, right? So 3 times 2 is 6 you subtract these you get 1 Okay Now let me tell you how this plays out to this, right? So if you go 27 divided by 2 what that equals you go is 13 and 1 over 2 1 over 2 So 13 and a half This is called the quotient. This is called the divide divisor dividend I forget what they're called and this is called the remainder, right? so This is how the division works. Let's do another one. Okay. Let's keep this up. Let's do another one here. Let's go 3 divided into 134 right here. Let's do another one hundred and thirty-four 1,347 Now you ask yourself What do you multiply 3 by to give you one? Well 3 doesn't go into 1 evenly, right? And then you ask yourself if it doesn't go evenly if this number is too small to contain this You go to the next one and you ask yourself What do you multiply 3 by or how many times is 3 going to 13 evenly? Well 3 goes into 13 four times so you don't put your 4 on top of the 1 you put it on top of The 3 whatever number it is that you're starting off with the complete, right? So 4 times 3 is 12 you bring the number here That's 12 and then you subtract you get 1 and then you can bring the next number down Right, you ask yourself again. How many times does 3 go into 14 again four times? and 4 times 13 is 12 you subtract you get 2 and then you can bring the 7 down, right? You ask yourself again. How many times does 13 go into 27 evenly? 9 times so you get a 9 here 9 times 3 is 27 you subtracted you get 0 When you get a remainder of 0 it means this number goes into this number Evenly and how many times is that? 449 so 1 3 4 7 divided by 3 is 449 Zero remainder so it just goes into it evenly. Okay, is that does that help you out? All the memories of the long division process are coming back to me I think I understand enough. I appreciate it a lot my my pleasure. I'm glad it's working out. I See I see Ozzy says wow wait, that's so simple the way that my teacher explained it to me was a lot more Yeah I'm not a defender of our centralized education system. That is That is It is what it is, right? I don't know why they make it so complicated. It's not You could have more complicated stuff. You're doing division with here. Let's do a polynomial division. Watch this You got this you can take a screen cap if you want. This is notes now watch this We'll move on from integers, right? Let's do polynomial long division Which is something that you need to learn how to do in grade 12 mathematics because it's important So for example, let's assume you have this x squared plus 5x minus 7 divided by x plus 1 Right. It's the same concept, right? That's a polynomial. That's a polynomial You're asking yourself how many times this this divided into the top, right? So you lay it out the same way x plus 1 x squared plus 5x minus 7 So again, you ask yourself Hello crafter. How are you doing? You ask yourself and you're only looking at the first number first Letter or variable or number here. How many times does x go into x squared? right Well, it goes in x times or what do you multiply x by to give you x squared? You're trying to get rid of this guy, right? You multiply it by x So x multiplies this and this because there's two terms here, right? So whatever you put up here multiplies everything here x times x is x squared x times 1 is x So you take this multiply by these guys and you put the result here and you subtract this from this Right. So the way you can write it is you go. Oh, this whole thing subtracted from that But I don't like it that makes it too complicated. So what I do is What I do is I Call it the same thing you subtract this from this But all I say is multiply this by negative one and add it to that So when you multiply by negative one Everything just changes signs. So if this is plus x squared positive x squared it becomes negative and this becomes negative So x squared minus plus and negative x squared or x squared minus x squared is zero They kill each other and then 5x minus x is 4x and then you can bring this one down minus seven And you ask yourself how many times does x go into 4x? Well, it goes four times. So you go plus 4 this multiplies this and this again x times 4 is 4x x times 1 is Sorry 4 times 1 is 4 Change the size and out of this kills this this becomes negative 11 Does x go into negative 11? No, it doesn't go anymore, right? It doesn't go anymore, right? So the way you write this says this divided by this is equal to x plus 4 plus negative 11 over x negative 11 over x plus 1 Okay, that's what it is, right? This is called the division statement The way you can write this is and check this out you can do it this way as well, okay? Yeah, here let me show you this This is d of x. Let's refer to it as d of x. It's a polynomial d of x Let's call this Small d of x the device divisor dividend dividend divisor the other way around this is called the q of x The quotient this is called r of x Okay Now if you're gonna write this in these terms, okay, you can write it like this This guy is big d of x Divided by little d of x is equal to q of x Plus r of x over little d of x So this is called the division statement in grade 12 polynomial long division stuff like this, right? Evil told by Choo Choo. I'm glad you're in Inventing new math I wish I was inventing this. I'm not I'm regurgitating So this is called the division statement one version of it. Here's another way you can express this simpler Multiply everything by the common denominator Which is d of x right now when you have fractions in an equation you can get rid of the denominators by multiplying by the common denominator So multiply everything by d of x So big d of x divided by little d of x. Well d of x kills d of x. So this side becomes Big d of x q of x times d of x becomes q of x times d of x Plus r of x over d of x is just r of x Okay, if we express use this to express this then this becomes x squared plus 5x minus 1 is equal to the quotient which is x plus 4 times the divisor which is x plus 1 is equal to negative 11 not equal to sorry minus 11 right So if you foil this baby out and subtract at 11 You get this. Oops. This is a 7 my bad Okay, we can test it Okay foil it out you get x squared plus x plus 4 plus 4 minus 11 Combine your like terms you get x squared plus this is 4x 5x minus 7 that is the same as that and this is One way of writing it. Okay, so this division comes into play Higher level mathematics. It is quite important Ozzy. Hey chicho, I have to go to sleep But I really appreciate the help my time to leave has arrived But I really got a lot of value from the teaching this quick lesson that you've given Also, I genuinely appreciate it a lot the internet needs more people. Thank you very much Ozzy appreciate the love And I'm glad we could help out We got to do at least a little bit of math through the mass stream