 Hello my dear friends in the previous session we Learned how to divide Big numbers using two digit numbers like 29 79 69. Yeah This in this session we are going to take up some different devices that is no not ending with nine Let's say they are ending with eight or seven and things like that. So how to Go about such kind of divisions. So the best way all of us know is the way through examples, so we'll be taking multiple varieties or varieties of examples through which we will be understanding That particular division process now here is a word of caution It might appear in the you know beginning that the process is longer as Compared to the regular division or the longer division method but as you practice along you will be you know more fluent in the process and It will become much easier for you to divide That too many a times in your mind itself. So you don't even write need to write on a piece of paper So all depends on how much practice do you do? Okay, so let's understand this process, right? So let's take a number random number random number is six seven four three two one Let's say four three two one This is a number six seven four three two one and I want to divide it by 38 Okay, so this is the Agenda so as we did last time, let's segregate out the last digit Segregate it out. Okay, so isolated that will help me identify. Where is the terminating process now? Next step was to find out closest multiple of ten for the divisor So closest multiple for ten for the divisor is 40 and 40 is plus two away. So let's say 38 plus two will give you 40 Okay, now your synthetic divisor is four now it is much easier to divide using four Then by 40, isn't it? So let's begin. So four times one will give you four here So it is a remainder two this remainder sits here like that So just like writing, you know, so it is nothing but 27 so two and seven you have to read it combinedly together So 27 but this time around what you need to do is You need to multiply this factor to here with the previous quotient to and then add to 27 Okay, so 27 plus one times two is how much 29. So the new dividend is 29 Now if you remember in the previous case when we were you know when the factor here was only one Then we need we didn't do anything. We simply added this to the previous quotient But this time what will you do? You will add this new number 27 with Two times one. So if it was three here, you will do three times one like that, okay? So so let me you know go through the process. It becomes much easier than to understand So 27 plus two times one is 29 now go for the division. So again, you'll get seven So four sevens are 28 Right, the remainder is one now this remainder comes and sits here on four. So becomes 14 Now 14 I have to add what this seven times the factor two. So seven times two is 14 So this 14 plus seven times two is 28. So the new dividend is 28 now again divide You'll get one once again seven. So 28 What is the remainder zero? Let's write the zero here. So zero three is a number But you have to add what again this seven multiplied by the factor two. So 14 14 plus this three is 17 so the new dividend is 17 Now what divide again? So four fours are 16 Right remainder is one. I write this one here. The new number is 12 plus four times this two So eight plus 12 is 20 Again divide five times. So 20, right? What is left zero? So here you make the zero sit here. So zero one plus Five times this two. This will be the end, right? So ten plus one eleven. So this is the last dividend, which is the remainder Okay, so what do we get? We get quotient as what is quotient here? one seven seven four five Okay, the another another example is let's say I have to divide now. Let's take a bigger divisor. So let's say first of all this is my Randomly taken Let's say I'm taking this as my a dividend four six two nine Seven one. Okay. Now. Let's try to divide it by 58 Let's find out quotient and remainder. So again isolate the last digit. Let's start doing it. So hence in this case 58 plus two will give you 60 the nearest multiple of Nearest multiple of ten is 60. So the divisor will be six now So let's start dividing so six sevens are 42 Isn't it six sevens are 42. So what is the difference for? Reminder is the four then put four here. So number new number becomes 42 plus Seven times two right the previous quotient times the factor. So 42 plus 14 is 56. So the new dividend is 56 Correct. Now again divide six Nines are 54 six nines are 54 the remainder is two again. This two will come and sit here. So 29 29 plus two times nine right this two times nine. So 18 29 plus 18 is forty seven Is it so let's write the new dividend forty seven again divide six How much six? Sevens are 42 Correct 42. So hence what is left three five? Sorry five Five is left. This five comes and sits here. So it's 57 plus 14 Is 71 so let's write 71 and again divide now here Six eleven times six times 11 is 66. So six times 11 So you will write only the unit's place here and the other one becomes a carry. So six times 11 is 66 What is the remainder five? So this five comes and sits here But five 51 plus what 51 plus two times 11 the previous quotient was 11 isn't it? So two times 11 added to 51 will give you 73 But this was the last step because we have already hit the last digit So hence what would you say? You will say that four six two nine seven one four six two nine seven one is equal to 58 times seven nine eight one why eight because this one plus seven will become eight right seven nine eight one plus 73 This is the division process, but you see this 73 is more than the divisor 58 So can I not draw 58 from there? So this is 58 into seven nine eight one plus 58 Plus third how much 15? Yep, can I can I say that so hence? This is nothing but 15 not 58 Into seven nine eight two plus 15. So this is the last process. So what is the quotient? Seven nine eight two remainder is 15 Okay, now here it would appear that it is taking all time, but in my opinion I Am writing each and every step here. Otherwise, usually you can complete the division in this step only So you don't need to write all these you know when you're doing it faster. So hence Remember this process. Let's take one more example So in this case again, I am picking up a random number, but this time around I am going to take up Another number which is a little Farther away from multiple of 10. So let's take this example. I have to divide Let's say five nine two one four Five nine two one four three. Let's say this is a six digit number. I want to divide it by 77 77 Okay, so again as I know you have to segregate the last digit Then how far is this from 80 80 is the nearest multiple of 10? so eight is the divisor Let's divide so if eight is the divider. So hence eight sevens of 56 so 56 Difference remainder is three right this three here 32, but you have to add what now three times seven Right 21 so that becomes 53. So new division is 53, right now again divide eight six of 48 48 so five comes here five sits here 51 plus 18 is nothing but 69 So right 69 here then eight eight just 64 Then this is five and then this goes here becomes 54 plus 24 is 78 New divisor 54 plus 24. So 78 divide now eight nines are 72 remainder is six six comes here six sits here 63 plus three times nine 27 so 63 plus 27 is 90 but since it was a last step. So here we'll stop, right? So what do I get I get? five nine two one four three is equal to seventy seven times 7689 7689 into sorry plus 90 Right, but clearly 90 cannot be the remainder 77 was the divisor. So hence you have to take up This can be written as 7690 you took away one 77 so 13 is the remainder now. So hence quotient is 7690 remainder is 30 Okay, so this is how you quickly do it. So now I what I'll do is I will demonstrate how in actual scenario We will be doing such calculations. Okay, so let's start. So let's say I have 77474 Let's say I have seven four three six two nine four three six two nine four This is a number and let's say I've divided by 88. How quickly see how I'm going to do it quickly So hence this is my plus two will give me 90. So nine so nine eight It's a 72. So you'll get two here. Then this two sits here So let me put a line so that becomes easier to identify So 23 plus eight two just 16. So guess gives you 39 new remainder new dividend. Sorry nine four 36 then three this 36 plus eight is 44 then nine four 36 you get eight you sit here 82 82 plus Eight is 90. So new dividend is 90. So nine tensa Okay, nine tensa. So hence one will sitting here. So 90 zero zero comes here zero nine plus 20 is 29 By 20 and times two plus nine 29. So hence what now nine Threes are 27 so to so 24 24 plus six is 30. So last number is 30 right so hence your dividend is our divisor. Sorry quotient is eight four five zero three Why five because you have to add this one plus four five zero three into 88 plus 30 This is the remainder and the dividend is Seven four three six two nine four Okay, seven four three six two nine four is equal to eight four five zero three into 88 plus 30