Final answer:
To find the remainder of 6,853,810 divided by 23, perform long division or use a calculator and take the decimal part of the quotient. The process involves subtracting multiples of 23 from the dividend until no positive subtraction can be made, with the last number being the remainder.
Step-by-step explanation:
The student asked to find the remainder when dividing 6,853,810 by 23. To solve this, you will need to perform long division or use a calculator. If you use a calculator, you can simply enter 6,853,810 / 23. The quotient will have a decimal, but we are interested only in the whole number part for the division and the decimal part to find the remainder. To find the remainder without a calculator, divide the tens of the highest place value first and continue down to the ones place value, subtracting the largest multiple of 23 each time until you can no longer subtract without going negative. The remainder is the last number you have after subtracting.
For example, when we start long division, we would see 23 goes into 68 two times, because 23 times 3 would exceed 68. So we subtract 2 times 23 (which is 46) from 68 and write down the remainder, which is 22. We then bring down the next digit and continue this process until we've gone through all digits of 6,853,810.