SOLUTION: What is the remainder of 16,246 divided by 9?

Question 764659: What is the remainder of 16,246 divided by 9?
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
What if you tried to check the number as a product of 9 or multiple of 9? You would sum the digits and find 19, which is 18+1. If the sum were 18, you would say because 18 is a multiple of 9, that 16246 were a multiple of 9; but instead, the sum were too big by 1. A good guess it that the remainder of 16246/9 is 1.

which shows that remainder of after the decimal point.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
Dividing by 9
Add up all the digits in the number.
Find out what the sum is. If the sum is divisible by , so is the number.

=> is not divisible by ; means there is a reminder
we can write as a sum of and ,
since is divisible by , means is reminder
so,
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