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This division technique can only be used if the divisor could be factorized.

Example 1:

272 ÷ 16 = 17

1. Find the factors of the divisor. Choose one of the factors.
   16 = 4 × 4 or 16 = 8 × 2
   For example, I will use 8 × 2
2. Divide the dividend by one of the factor.
   272 ÷ 8 = 34
3. Divide the quotient from 2. by the second factor.
   34 ÷ 2 = 17
4. Therefore, the quotient is 17

Note: Try with 4 × 4.

 

What will happened if the remainder is not zero? Please look at the next example.

Example 2:

275 ÷ 16 = 17 with remainder 3

1. 16 = 4 × 4
2. 275 ÷ 4 = 68, r. 3
3. 68 ÷ 4 = 17
4. The quotient is 17, with remainder 3

Note: Try with 2 × 8

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Tags: division, Mathematics