Remainder modulo 8

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A number is given: $1234513151313653211415515253$

Is there any way to find out the reminder when it divided by 8? What will be happened if I use MOD rules here?

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2 Answers

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When you divide by $8$, you only need to worry about the last 3 numbers. So $1234513151313653211415515253$ mod $8$ becomes $253$ mod $8$. Now it's a cake walk!

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It suffices to look at the last 3 digits. Hence remainder is $253 \mod 8 = 5$

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