If it were more then the dividend would have to be increased.
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3 divided by 2 has a remainder of 1. Which is 1 less than 2.
The remainder must be less than the divisor, otherwise you are not doing the division correctly.
It SHOULD always be less than the divisor... Otherwise your answer is wrong.
A remainder can be any non-negative number that is less than the divisor. If the remainder is bigger than the divisor, the divisor can go into it another one (or more) times until the remainder is brought into that range.
Because if the remainder is greater, then you could "fit" another divisor value into it. if they are equal, then you can divide it easily. Thus, the remainder is always lower than the divisor.