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Why can't the remainder be bigger than the divisor?
Because if the remainder is bigger than the divisor, the quotient can be increased and that will reduce the remainder. You can keep doing as long as the remainder is larger than the divisor. You stop only when it becomes smaller.
Why must the remainder be less than the divisor?
The remainder is less than the divisor because if the remainder was greater than the divisor, you have the wrong quotient. In other words, you should increase your quotient until your remainder is less than your divisor!
Why should the remainder be less than the divisor?
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.
When you divide by 3 can 5 be the remainder?
no you must have a remainder or 2,1, or have no remainder at all your remainder must be smaller than the your dividend your dividend is the number you are dividing by
Can the remainder be greater than the dividend?
Well, let's see. So we can try 285/9 It is 31 with 6 as it's remainder. You know that the dividend is the largest number, and the divisor would be less than the dividend. Since the divisor can't be any smaller than the remainder so would the dividend. Because it will be the only LARGEST number in the division equation.
