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Why is division greater than remainder?

Anonymous

∙ 9y ago

Updated: 9/25/2023

If the remainder were greater than the divisor, you'd be able to take another divisor out of it.

Wiki User

∙ 9y ago

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Why does the remainder be greater then the divvisor?

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.

Is it possible for the remainder in a division problem to be greater than the divisor?

If it is divided by a fraction or a decimal. Like 1/5 or .986

When dividing can a remainder be greater than the divisor?

No.

How do you find a negative remainder of a number?

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)

What is a reasonable remainder?

The remainder must be less than the divisor, otherwise you are not doing the division correctly.

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Related Questions

Why does the remainder be greater then the divvisor?

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.

In the answer to a division problem should the remainder be greater than less than or equal to the diviser?

The remainder must always be smaller.

In division why should the remainder not be greater than the divisor?

The problem would not end

In division why should the remainder not be greater then the divisor?

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.

Is it possible for the remainder in a division problem to be greater than the divisor?

If it is divided by a fraction or a decimal. Like 1/5 or .986

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!

When dividing can a remainder be greater than the divisor?

No.

Is the remainder greater than or less than the divisor?

less than

How do you find a negative remainder of a number?

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)

What is a reasonable remainder?

The remainder must be less than the divisor, otherwise you are not doing the division correctly.

Why should the remainder not be greater than the divisor?

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!

Does it matter in a division problem that the remainder is more than the divisor?

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.

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