Welcome to Day 9
Finally we have almost reached the end of the learning session as tomorrow we will be having a final test. Hope you can recollect all the method or you can have a quick glance through all of them. So lets begin with the final lesson.
This is just a introduction to this method and advance method for this has not been taught in this lesson.
Straight Division
4096/ 64
4 / 40 9 6
6 / 4 1 .
6 4
Answer is 64
Steps involved
- First separate the divisor into two parts, write the first number down and then above it write the second number. Therefore, we write 6 down and then 4 above it.
- Then we manually check the closest number divisible by 6 from 4096, as we would do in our normal division, if we were dividing 4096.
- Therefore, we divide 40 by 6; write down the quotient 6 down, and the remainder below the next number, in this case we write 4 below 9.
- Now, we multiply 4 into our quotient - 6. The 4 we are using is of 64 or the one which we wrote above 6.
- This we subtract from 49 i.e. 49 – 24 = 25
- Next we divide 25 by 6 and get our quotient 4, which we write below, and remainder below the next number, in this case 1 below 6.
- We again repeat the procedure. We multiply 4 with the next quotient i.e. 4, therefore 4 x 4 and we subtract it from 16.
- We get the answer 0. Therefore our answer is complete which is 64
996/64
4 / 9 9 6
6 / 3 5
1 5 .6
Answer is 15.6
Or
4 / 9 9 6
6 / 3 5
1 5 36
Where 15 is quotient and 36 the remainder.
Steps involved
- First separate the divisor into two parts, write the first number down and then above it write the second number. Therefore, we write 6 down and then 4 above it.
- Then we manually check the closest number divisible by 6 from 996, as we would do in our normal division, if we were dividing 996.
- Therefore, we divide 9 by 6; write down the quotient 1 down, and the remainder below the next number, in this case we write 3 below 9.
- Now, we multiply 4 into our first quotient - 1. The 4 we are using is of 64 or the one which we wrote above 6.
- This we subtract from 39 i.e. 39 – 4 = 35
- Next we divide 35 by 6 and get our quotient 5, which we write below, and remainder below the next number, in this case 5 below 6.
- We again repeat the procedure. We multiply 4 with the next quotient i.e. 5, therefore 4 x 5 and we subtract it from 56.
- We get the answer 36. Now either we can leave it as it, because this will become the remainder. Or we can divide this by 6 to get the answer in decimal form. Therefore our answer is complete which is 15.6
5100 / 25
5 / 3 1 0 0
2/ 1 2 2
1 2 4 . 0
Therefore we get the answer as 124
Steps involved
- We first divide 3 by 2, get quotient 1, which we write down and carry over the remainder 1 below the next number of 3100, which would be 1
- Now we subtract 11 from 5 x 1. Get 6 which we should divide by 2 and write down the quotient as 3.
- But we don’t do this. Reason being, if we take quotient 3 our remainder will be 0 and we won’t be able to continue with the calculation.
- Therefore, when ever writing down the quotient, we should check the next calculation should not give us a answer 0 or negative.
- Hence, we write down 2 us our quotient and carry forward 2.
- Now we again repeat the procedure, 20 - 5 x 2 (quotient) = 10
- 10 we divide by 2, since again our next number should not be 00, we take the quotient as 4 and write the remainder as 2
- And 20 – 5 x 4 = 0
- Therefore our answer is 124.
Remember the last number is always the remainder. If the last number is 0 that means it is perfectly divisible.
80742 / 53
3 / 8 0 7 4 2
5 / 3 2 2 3
1 5 2 3 23
Therefore our answer is 1523 with the remainder 23
Steps involved
-
We first divide 8 by 5 get the quotient 1, which we write down and carry the remainder below 0
- Next we subtract 3 (3 x 1) from 30 = 27
- Divide 27 by 5, write down the quotient 5 below and the remainder 2 below 7.
- 27 – 15 (3 x 5) = 12
- We divide 12 by 5, write down the quotient 2 and carry forward the remainder 2 below 4.
- 24 – 6(3 x 2) = 18
- 18 divide by 5, gives the quotient 3 and the remainder 3.
- 32 – 9 (3 x 3) = 23, which becomes our remainder.
I hope this lesson was fun and you enjoyed it as much as I enjoyed writing it down for you!
See you tomorrow.
Rahul Makhija
If you have missed any of the previous days, then you can visit them now:
Day 1
Day 2
Day 3
Day 4
Day 5
Day 6
Day 7
Day 8
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