## To calculate reminder on dividing the number by 7 11 and 13

### Let me explain this rule by taking examples

consider number 34568276, we have to calculate the reminder on diving this number by 7 11 and 13 respectively.

make triplets as written below starting from units place

34.........568..........276

now alternate sum = 34+276 = 310 and 568

and difference of these sums = 568-310 = 258

divide it by 7 we get reminder as 6

divide it by 11 we get reminder as 5

divide it by 13 we get reminder as 11-
## Example.

other examples:-

consider the number 4523895099854

triplet pairs are 4...523...895...099...854

alternate sums are 4+895+854=1753 and 523+099=622

difference = 1131

revise the same tripling process

1......131

so difference = 131-1 = 130

divide it by 7 we get reminder as 4

divide it by 11 we get reminder as 9

divide it by 13 we get reminder as 0 -
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