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This is due to the Law of Large Numbers. According to this law, the average of a set of numbers is more likely to be closer to the true average.
The more data you have, the more accurate your information. If you have a large amount of evidence of one result, it makes it look correct.
ADDITION.
In integer division, you expect the result to be an integer. Anything left over will be quoted as a remainder. The more commonly used division (not integer division) will continue calculating decimals, up to the desired accuracy.
Specific data is always going to be more reliable than general data. The reason for this, is because people can answer more accurately, without giving a broad answer to a question.