Slug (identifier)
dividing-numbers-with-remainders
Grades
Grade 3
Grade 4
Grade 5
Grade 6
Equivalent file in the opposite grade group
Content
Title (level 2)
3rd and 4th Grade
Title slug (identifier)
third-and-fourth-grade
Contenu
Contenu
Title
What is the remainder of a division?
Content
Content
Corps
A remainder is the amount left over after dividing a number into equal groups.
Example:
14 ÷ 3 =?
Title
How do you perform a division with a remainder using the long division method?
Content
Corps
To perform a division with a remainder requires knowing how to use long division. To review long division, see the Dividing Numbers concept sheet.
Content
Corps
75 ÷ 7 = ?
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I start by dividing the first digit on the left of the dividend.
I ask myself how many times 7 goes into 7.
7 goes into 7 once.
Next, I place 1 above the division bracket.
I write 7 under the 7 and then perform a subtraction.
7 - 7 = 0
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I bring down the next number of the dividend and place it to the right of the answer in the subtraction.
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I ask myself how many times 7 goes into 5.
7 does not fit into 5, since it is greater than 5.
So, I place a 0 in the answer above the division symbol and a 0 under the 5. Then, I subtract.
5 - 0 = 5
There is no longer a number to bring down. 5 is the remainder of the division.
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75 ÷ 7 = 10 remainder 5
Title
How do you write the remainder of a division as a fraction?
Content
Corps
To write the remainder of a division as a fraction, write the remainder as the numerator and the divisor as the denominator.
Content
Corps
|14\div3=4\ \text{remainder}\ 2|
Corps
In the form of a fraction, the quotient of |14\div3| is written |4\ \dfrac{2}{3}.|
Contenu
Content
Links
Title
Finding a Missing Term in a Division
Title (level 2)
5th and 6th Grade
Title slug (identifier)
fifth-and-sixth-grade
Contenu
Contenu
Title
How do you write the remainder of a division as a decimal number?
Content
Corps
To perform a division with a remainder, it is important to use long division. To review long division, see the Dividing Numbers concept sheet.
Content
Corps
1 962 ÷ 8 = ?
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First, I perform the division until the remaining number can no longer be divided.
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I add a decimal point and a 0 to the dividend.
Also, I place a decimal point to the right of the answer.
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I bring down the 0 and I continue the division.
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Then, I add another 0 to the dividend.
Next, I bring it down and continue the division.
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1 962 ÷ 8 = 245.25
Contenu
Content
Links
Title
Finding a Missing Term in a Division
