Without performing actual division, find the remainders left when 192837465 is divided by (i)9                 (ii) 11

Explanation

(i)`192837465` divided by `9`
A number is said to be divisible by `9` if the sum of its digits are divisible by `9`.
`192837465=1+9+2+8+3+7+4+6+5=45=5×9`
`192837465` is divisible by `9`
`` Remainder`=0`
(ii)`192837465` divided by `11`
A number is said to be divisible by `11` if the sum of its digits are divisible by `11`.
`192837465=1+9+2+8+3+7+4+6+5=45`
`192837465` is not divisible by `11`
` `Remainder`=4`