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Step-by-step explanation:
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Step-by-step explanation:
Answer:
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✧・゚: *✧・゚:* Answer: *:・゚✧*:・゚✧
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I WOULD APPRECIATE BRAINLIEST!
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To maintain the integrity of the division, the remainder should always be less than the divisor, indicating that the dividend has been distributed as much as possible.
In division, the remainder should not be greater than the divisor because it violates the fundamental property of division known as the division algorithm.
The division algorithm states that when dividing a number (dividend) by another number (divisor), the quotient multiplied by the divisor, plus the remainder, must equal the dividend.
If the remainder is greater than the divisor, it means that the division process did not distribute the dividend completely among the divisor. In other words, there are still units remaining that are greater than the divisor. This contradicts the concept of division, where we aim to divide the dividend into equal or smaller parts.
For example, if we have 10 ÷ 3 and the remainder is 4 (which is greater than the divisor 3), it means that after distributing as many 3s as possible, there are still four units left over, which cannot be further divided by 3. This situation violates the divisionalgorithm.
Learn more about division here:
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