Dividing a repeating 6-digit number by 7, then by 13 Select a 3-digit number. Repeat these digits to make a 6-digit number. Divide these 6 digits by 7, then by 13. The answer is 11 times the first three digits! Example: If the 3-digit number selected is 234: The 6-digit number is 234234. Divide by 7, then by 13: multiply by 11 - to multiply 234 by 11, work right to left: last digit on right = _ _ _ 4 next digit to left = 3 + 4 = 7: _ _ 7 _ next digit to left = 2 + 3 = 5: _ 5 _ _ last digit on left = 2 _ _ _ So 234234 divided by 7, then 13 is 2574. See the pattern? If the 3-digit number selected is 461: The 6-digit number is 461461. Divide by 7, then by 13: multiply by 11 - to multiply 461 by 11, work right to left: last digit on right = _ _ _ 1 next digit to left = 6 + 1 = 7: _ _ 7 _ next digit to left = 4 + 6 = 10: _ 0 _ _ last digit on left = 4 + 1(carry) = 5: 5 _ _ _ So 461461 divided by 7, then 13 is 5071.
							
Dividing a repeating 6-digit number by 7,


then by 13


Select a 3-digit number.


Repeat these digits to make a 6-digit number.


Divide these 6 digits by 7, then by 13.


The answer is 11 times the first three digits!


Example: If the 3-digit number selected is 234:


The 6-digit number is 234234.


Divide by 7, then by 13: multiply by 11


- to multiply 234 by 11, work right to left:


last digit on right = _ _ _ 4


next digit to left = 3 + 4 = 7: _ _ 7 _


next digit to left = 2 + 3 = 5: _ 5 _ _


last digit on left = 2 _ _ _


So 234234 divided by 7, then 13 is 2574.


See the pattern?


If the 3-digit number selected is 461:


The 6-digit number is 461461.


Divide by 7, then by 13: multiply by 11


- to multiply 461 by 11, work right to left:


last digit on right = _ _ _ 1


next digit to left = 6 + 1 = 7: _ _ 7 _


next digit to left = 4 + 6 = 10: _ 0 _ _


last digit on left = 4 + 1(carry) = 5: 5 _ _ _


So 461461 divided by 7, then 13 is 5071.