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

  1. 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.
  2. 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.
  3. 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.
  4. Now, we multiply 4 into our quotient - 6. The 4 we are using is of 64 or the one which we wrote above 6.
  5. This we subtract from 49 i.e. 49 – 24 = 25
  6. 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.
  7. 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.
  8. 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

  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. This we subtract from 39 i.e. 39 – 4 = 35
  6. 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.
  7. 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.
  8. 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

  1. 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
  2. Now we subtract 11 from 5 x 1. Get 6 which we should divide by 2 and write down the quotient as 3.
  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.
  4. Therefore, when ever writing down the quotient, we should check the next calculation should not give us a answer 0 or negative.
  5. Hence, we write down 2 us our quotient and carry forward 2.
  6. Now we again repeat the procedure, 20 - 5 x 2 (quotient) = 10
  7. 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
  8. And 20 – 5 x 4 = 0
  9. 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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