If the remainder were greater than the divisor, you'd be able to take another divisor out of it.
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The remainder can be greater than the divisor when the dividend is significantly larger than the divisor. In division, the remainder is the amount that is left over after dividing the dividend by the divisor. If the dividend is much larger than the divisor, it is likely that the remainder will also be larger than the divisor.
If it is divided by a fraction or a decimal. Like 1/5 or .986
No.
This is a common operation in Number Theory, especially in relation to Euclid's Algorism.If, when dividing two numbers, complete division does not occur then usually the operation stops at a value less than the dividend and the resulting difference is described as the remainder.Example : 88 ÷ 7 = 12 with remainder 4. (12 x 7 = 84)A negative remainder is when the division stops at a value greater than the dividend. Normally this is the value immediately greater than the dividend.Example : 88 ÷ 7 = 13 with remainder -3 (13 x 7 = 91)
The remainder must be less than the divisor, otherwise you are not doing the division correctly.