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.
The remainder of two positive integers can be calculated by first dividing one number (the dividend) by the other (the divisor) using integer division (ignoring any fractional component). Multiply this quotient by the divisor, then subtract the product from the dividend. The result is the remainder. Alternatively, while the dividend remains greater than the divisor, subtract the divisor from the dividend and repeat until the dividend is smaller than the divisor. The dividend is then the remainder.
If it were more then the dividend would have to be increased.
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 greatest possible remainder is divisor is just less than 28. If the dividend is an integer, then it is 27. But if the dividend is any real number, the greatest possible remainder is 27.999.... (recurring).Strictly speaking, though, the decimal can only be "nearly recurring". This is because 27.999 recurring = 28 and the remainder cannot be 28.The greatest possible remainder is divisor is just less than 28. If the dividend is an integer, then it is 27. But if the dividend is any real number, the greatest possible remainder is 27.999.... (recurring).Strictly speaking, though, the decimal can only be "nearly recurring". This is because 27.999 recurring = 28 and the remainder cannot be 28.The greatest possible remainder is divisor is just less than 28. If the dividend is an integer, then it is 27. But if the dividend is any real number, the greatest possible remainder is 27.999.... (recurring).Strictly speaking, though, the decimal can only be "nearly recurring". This is because 27.999 recurring = 28 and the remainder cannot be 28.The greatest possible remainder is divisor is just less than 28. If the dividend is an integer, then it is 27. But if the dividend is any real number, the greatest possible remainder is 27.999.... (recurring).Strictly speaking, though, the decimal can only be "nearly recurring". This is because 27.999 recurring = 28 and the remainder cannot be 28.
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.
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.
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
The remainder of two positive integers can be calculated by first dividing one number (the dividend) by the other (the divisor) using integer division (ignoring any fractional component). Multiply this quotient by the divisor, then subtract the product from the dividend. The result is the remainder. Alternatively, while the dividend remains greater than the divisor, subtract the divisor from the dividend and repeat until the dividend is smaller than the divisor. The dividend is then the remainder.
If it were more then the dividend would have to be increased.
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)
quotent X divisor + remainder = dividend
0.0116
The divisor is 9. quotient x divisor + remainder = dividend ⇒ quotient x divisor = dividend - remainder ⇒ divisor = (dividend - remainder) ÷ quotient = (53 - 8) ÷ 5 = 45 ÷ 5 = 9
The greatest possible remainder is divisor is just less than 28. If the dividend is an integer, then it is 27. But if the dividend is any real number, the greatest possible remainder is 27.999.... (recurring).Strictly speaking, though, the decimal can only be "nearly recurring". This is because 27.999 recurring = 28 and the remainder cannot be 28.The greatest possible remainder is divisor is just less than 28. If the dividend is an integer, then it is 27. But if the dividend is any real number, the greatest possible remainder is 27.999.... (recurring).Strictly speaking, though, the decimal can only be "nearly recurring". This is because 27.999 recurring = 28 and the remainder cannot be 28.The greatest possible remainder is divisor is just less than 28. If the dividend is an integer, then it is 27. But if the dividend is any real number, the greatest possible remainder is 27.999.... (recurring).Strictly speaking, though, the decimal can only be "nearly recurring". This is because 27.999 recurring = 28 and the remainder cannot be 28.The greatest possible remainder is divisor is just less than 28. If the dividend is an integer, then it is 27. But if the dividend is any real number, the greatest possible remainder is 27.999.... (recurring).Strictly speaking, though, the decimal can only be "nearly recurring". This is because 27.999 recurring = 28 and the remainder cannot be 28.
5000 will be greater and -5000 will be less than.
If the remainder were greater than the divisor, you'd be able to take another divisor out of it.