Dividing with a remainder means finding out how many times one number (the divisor) goes into another number (the dividend) and what is left over if it doesn't go in evenly.
Understanding Division with Remainders
When you divide, sometimes the divisor doesn't fit perfectly into the dividend. The leftover amount is called the remainder. Here's how to think about it:
- Dividend: The number being divided.
- Divisor: The number you are dividing by.
- Quotient: The whole number result of the division.
- Remainder: The amount left over when the division is not even.
Steps to Divide with a Remainder:
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Set up the problem: Write the dividend and the divisor in the appropriate format for division. The reference video, "Short Division with Remainders - YouTube", demonstrates a short division method.
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Divide: Determine how many times the divisor goes into the dividend. This is the whole number part of your answer, the quotient.
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Multiply: Multiply the quotient by the divisor.
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Subtract: Subtract this result from the dividend.
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Remainder: The result of the subtraction is your remainder. It should be less than the divisor.
Example from the Reference:
According to the reference from the YouTube video “Short Division with Remainders,” consider dividing 19 by 3:
- How many threes in 19? From your three times table, you know that six threes are 18.
- Write down 6 as the quotient.
- 19 - 18=1. The remainder is 1.
Therefore, 19 divided by 3 is 6 with a remainder of 1.
More Examples
- Dividing 17 by 3
- How many 3s are in 17? There are five 3s in 17 (5 x 3 = 15).
- Subtract 15 from 17 (17 - 15 = 2).
- The remainder is 2. So, 17 divided by 3 is 5 remainder 2.
Why Remainders Matter
- Real-world application: When you have to share something, like 25 cookies among 7 friends, division with remainders tells you how many each friend gets (3 cookies each) and how many are left over (4 cookies).
- Precision: Remainders add precision to calculations by accounting for the portions that don’t fit evenly.
Summary
To divide with a remainder:
- Divide as usual, finding how many times the divisor goes into the dividend.
- Determine the amount left over, which is the remainder, and it should be less than the divisor.
