A New Method to divide Numbers by 8 (Eight)!

Consider the following procedure for dividing the three-digit number 375375 by 88:

  • Write down the number formed by the first two digits, namely 3737.

  • Multiply this by 22 to get 7474.

  • Add to this, the units digit of 375375 (the original number), obtaining 74+5=7974+5=79.

  • Then divide it by 88 to get 99 with a remainder of 77.

  • Add this result (99, remainder 77) with 3737 (the first two digits of the original number) to get your answer: 4646, remainder 77.

Thus 375375 divided by 88 equals 4646 with a remainder of 77.

Does this method always work for three-digit numbers? Why, or why not?

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