Warp Math :: Division Tricks-(2)

Division trick process is quite similar to multiplication’s.

You already know the term, base.
Base is the a power of 10 closest to denomenator.

I will introduce another term, complement.
Complement is the value from base - denomenator.

Let’s solve the example.

• 1726 ÷ 96

1. Base shall be 100.
2. Complement is 100 - 96 = 04.
   Length of the complement shall be equal to the number of zeros in base.
3. Numerator shall be positioned with separated.
   Length of the numbers positioned on the right is equal to the number of zeros in base.
   → 17 | 26
4. You shall position complement, seperated numerator one by one.
   → 04 | 17 | 26
5. The first number of the first seperated numerator shall be written right below that number.
   → 04 | 17 | 26
              |      | 
    —————————
                1
6. Multiply 1 by each number in complement.
   → 1X0, 1X4
7. Each of the calculated number shall be written right below each of number subsequent to the first digit number in numarator.
   → 04 | 17 | 26
             |   0 | 4
    —————————
                1
8. Repeat 7th process to the last number in the first seperated numerator.
9. Sum up the numbers in the same position.
   → 04 | 17 | 26
             |    0 | 4
             |       | 0(28)
    —————————
                1 7 | 9 4
   → Answer = 17 & Remainder = 94
   
   

Do Exercise

• 298 ÷ 96
• 7812 ÷ 988
• 11199847 ÷ 99996
• 1358 ÷ 113
• 12223 ÷ 1102
• 117923 ÷ 1123