Division is the process of determining how many times one quantity is contained within another quantity, or of splitting a quantity into equal parts.
The quotient is the result of the operation.
The dividend is the number that is divided. The divisor is the number that divides.
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Complete division is an operation between two real numbers. One is called the dividend and the other is the divisor. The quotient will also be a real number.
|24.54\div 2.53=9.69...|
Division with a remainder is an operation consisting of two natural numbers, one called the dividend and the other the divisor, with which two other natural numbers, the quotient and the remainder, are associated.
The remainder is a number that cannot be divided by the divisor.
Consider the following division. ||37\div4=||
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We determine how many times |4| goes into |37|
The number |4| goes into |37| a maximum of |9| times. -
We write the result with the remainder
Since |4\times9=36,| |1| remains. ||37-36=1||
The quotient of the whole division is: |9| remainder |1.|
The divisors of a number are the natural numbers by which that number can be divided and which result in an answer without a remainder.
The divisors of |24| are |\left\{1, 2, 3, 4, 6, 8, 12, 24\right\}.|
The number |24| can be divided by each of these numbers and the result is a natural number without a remainder.
The word factor is used incorrectly to denote the divisors of a number.
Factors are the building blocks of multiplication. They can be compared to dividends and divisors in division.
To find a missing divisor between the dividend and the quotient, simply divide the dividend by the quotient.
|56 \div\ ?=8|
|56 \div 8 =\ ?|
|?=7|
The following terms are used in a division word problem.
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Term |
Example |
Calculation |
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Divide |
Divide |8| by |4.| |
|8\div4| |
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Quotient |
Find the quotient of |32| and |8.| |
|32\div8| |
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Into |
What is |9| into |3?| |
|9\div3| |
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Half |
What is half of |12?| |
|12\div2| |
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Third |
What is a third of |30?| |
|30\div3| |
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Quarter |
What is a quarter of |48?| |
|48\div4| |
