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

Consider the following procedure for dividing the three-digit number $375$ by $8$:

• Write down the number formed by the first two digits, namely $37$.

• Multiply this by $2$ to get $74$.

• Add to this, the units digit of $375$ (the original number), obtaining $74+5=79$.

• Then divide it by $8$ to get $9$ with a remainder of $7$.

• Add this result ($9$, remainder $7$) with $37$ (the first two digits of the original number) to get your answer: $46$, remainder $7$.

Thus $375$ divided by $8$ equals $46$ with a remainder of $7$.

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

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