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Browse Elementary
Division
Stars indicate particularly interesting answers or
good places to begin browsing.
Selected answers to common questions:
Dividing fractions.
Flashcards/worksheets on the Web.
Long division.
Order of operations.
Number sentences.
 Multiplying and Dividing Negatives [07/20/1998]

Can you explain multiplication and division with signed numbers? For
example what is the sign when you multiply negative numbers?
 Multiplying by the Reciprocal to Divide Two Fractions [05/08/2008]

Why does it work to divide two fractions by multiplying the numerator
times the reciprocal of the denominator?
 Multiplying Mixed Numbers [06/02/2003]

Can you multiply mixed numbers without changing them into improper
fractions?
 Name of Division Symbol [7/31/1996]

What is the official name for the division symbol?
 Number Divisibility [11/01/1998]

How many natural numbers under 2,000 are divisible by 5 or 7? What's the
quickest way to figure this out?
 Order of Numbers in Subtraction and Division [11/09/1999]

Why can you add or multiply numbers in any order, but you cannot switch
order when you divide or subtract?
 Order of Operations: Parentheses as Packages [10/25/2001]

I need help figuring out the steps in this expression: 5{4[2^411(9
1)]}=
 Order of Operations vs. Associative Property [10/10/2002]

Is the associative property an exception to the order of operations, a
corollary, or something totally unrelated?
 Order of Operations vs. Distributive Property [02/04/2005]

Does the distributive property contradict the rules of order of
operations? When we have a(b + c) order of operations says we should
add first in the parentheses, then multiply, but the distributive
property says we can multiply first to get ab + ac, then add.
 Primes and Repeating Unit Numbers [12/09/1998]

How do you prove this statement: For every prime number there exists a
repeated unit number that is a multiple of that prime.
 Problems with Zero; Writing Remainders [11/07/2001]

When I do long division the answer is correct except for one thing in the
middle of the answer when it contains a zero.
 Quickly Dividing in Two [7/8/1996]

Are there any quick tricks for figuring out fifty percent of a number
such as 14.95 in your head?
 Quotient of 65 and 9.4 [2/13/1995]

What is the quotient of 65 and 9.4?
 Remainders [07/02/1998]

Can you tell me how to do remainders?
 Setting Up a Division Calculation Correctly [12/16/2005]

I get confused about which number goes where when I have to do something like "6 divided by 2". Which number goes in the calculator first? And which number goes on the outside and inside if I am doing it on paper?
 Short Division [01/11/2002]

I have math problems that say solve by using "short division." What does
this mean?
 ThreeDigit Numbers [01/27/1997]

If you take a threedigit number, rearrange it two other ways, add the
three numbers together, and divide by 3, why do you always get a
remainder of zero?
 To Multiply or Divide? That Is the Question. [09/02/2003]

In a story problem, how do you know whether to multiply or divide?
 Trick for Numbers Divisible by 3 or 9 [02/24/1998]

Proof of a trick for numbers that are divisible by 3 or 9.
 Two Division Questions [2/1/1995]

I have a real math challenge for you. There are 9 men. How many cookies
would each man get if there were 113 cookies? Also, what is the answer to
1,623,341 divided by 1.632 x 2389?
 Ways to Add and Divide More Easily [11/17/2008]

I have to add 2398 and 5752 and then divide by 37. I can do it, but it
takes a long time. Is there any faster way to do those calculations?
 What Does Cancelling Mean? [01/22/2003]

My teacher says that 2k/4n can be simplified to k/2n. How can one k
cancel out 2 n's?
 What is 12/18 ? [4/27/1995]

A third grader asks for help with a problem on long division and
remainders.
 What is 15/11? [4/27/1995]

We are learning division. What is 15/11?
 What is 2346 Divided by 56? [4/27/1995]

We are studying Division. 2,346 divided by 56 = ?
 What is 25 Divided By 5? [4/27/1995]

I'm studying division at school. Do you know 25 divided by 5?
 What is 65 Divided by 3? [4/27/1995]

We just started division. It is pretty simple to me. What is 65 divided
by 3?
 What Is Trial Division? [02/24/1998]

Trial division is a technique for factoring a number.
 Which is the Divisor and Which is the Dividend? [03/01/2002]

I can't remember which number is the dividend and which is the divisor.
 Why Decimal Division Works [04/24/2001]

Can you explain why (not how) the procedure of division with decimals
works?
 Why Is Mental Math Important? [03/25/2004]

How can I convince a 14 year old girl who is in 8th grade the
importance of mental math? I think that skills like mentally adding
and subtracting 2 digit numbers and being able to estimate multiplying
2 digit large numbers are critical. My daughter's teacher says that
such skills aren't needed because of calculators and computers.
 Why the Fraction Division Technique Works [11/27/2004]

Why do we need to flip the second fraction when we divide fractions?
 Writing a Remainder as a Reduced Fraction [08/29/2001]

I have to solve two division problems and write the remainder as a
reduced fraction.
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