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.
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 must always be smaller.
The problem would not end
If the remainder is greater than the divisor then you can divide it once more and get one more whole number and then have less remainders.
If it is divided by a fraction or a decimal. Like 1/5 or .986
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!
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)
It must be less else you have not divided properly; you could divide again 1 or more times!If the remainder is equal to the divisor (or equal to a multiple of the divisor) then you could divide again exactly without remainder. If the remainder is greater but not a multiple of the divisor you could divide again resulting in another remainder.E.g. Consider 9/2. This is 4 remainder 1. Let's say our answer was 3 remainder 3; as our remainder "3" is greater than the divisor "2" we can divide again so we have not carried out our original division correctly!
The remainder must be less than the divisor, otherwise you are not doing the division correctly.
less than
Yes, it matters. Division is usually defined in such a way that the remainder must be less than the divisor. Let's look at a simple example. You want to divide 5 apples between 2 people. You might say that the answer is 1, with a remainder of 3; but that means that there are still apples to share (without cutting them into fractional parts). The answer 2, with a remainder of 1, more accurately reflects the fact that you can each person, in this example, can have two whole apples. In general, if the remainder is greater than (or equal to) the divisor, it's an indication that the division was not done correctly.