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No. It is the number by which you are dividing. This may be the larger or the smaller number, depending on the problem.
Then divide the remainder again by the divisor until you get a remainder smaller than your divisor or an remainder equal to zero. The remainder in a division question should never be larger than the "divisor", but the remainder often is larger than the "answer" (quotient). For example, if 435 is divided by 63, the quotient is 22 and the remainder is 57.
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Dividing a number by a decimal always gives a number greater than the dividend. Some decimal numbers are bigger than 1, eg 506.23 , so the answer is less. The statement "a number greater than you" has no meaning so the question cannot be properly understood.