Adjusting the Quotient: When Students Ask
- What are the different ways to divide?
You can use many different strategies to find the answer to a division problem. One strategy is to use repeated subtraction. To find 123 ÷ 36, think: How many groups of 36 are there in 123? Start with 123. Subtract 36 repeatedly. Count how many times you subtracted: 123 − 36 = 87 (1); 87 − 36 = 51 (2); 51 − 36 = 15 (3); 15 < 36. There are 3 groups of 36 in 123 with 15 left over. Therefore, 123 ÷ 36 = 3 R15.
Another strategy is to use what is sometimes called long division. The algorithm for long division is estimate, multiply, subtract, bring down, and repeat as needed. To find 123 ÷ 36, start with the estimate 120 ÷ 40 = 3. Then use this estimate to help you place the first digit in the quotient of the division algorithm.width=”93″ height=”71″ alt=”long division: 123 divided by 36 = 3 with a remainder of 15″ />
One other way to divide is to use what is sometimes called short division. This method is very useful when dividing by a one-digit number. The short division method requires you to do the estimation, multiplication, and subtraction steps mentally.
Think: 13 ÷ 3 = 4; 4 × 3 = 12; 13 – 12 = 1
Place the 1 next to the 7.
Think: 17 ÷ 3 = 5; 5 × 3 = 15; 17 – 15 = 2
Place the 1 next to the 7.
Think: 28 ÷ 3 = 9; 9 × 3 = 27; 28 – 27 = 1
Place the 1 next to the 7.
- How do I know where to place the first digit in the quotient?
There are a couple of ways to decide where to place the first digit in the quotient. You can use an estimate. To find 389 ÷ 19, first estimate 400 ÷ 20 = 20. Knowing that 389 ÷ 19 is about 20, or 2 tens, helps you know where to place the first digit when finding the actual quotient.
400 ÷ 20 = 20
So, 389 ÷ 19 us about 20, or 2 tens.
The first digit in the quotient should be placed above the 8 in 389.
Another way to decide where to place the first digit is to make some comparisons.
- 19 > 3. There are not enough hundreds.
- 19 < 38. There are not enough tens.
- Place the first digit of the quotient, 2, in the tens place.
- How can I check my answer in division?
If you multiply the divisor by the quotient and then add the remainder, the result should equal the dividend. You can do this with paper and pencil or with a calculator. For example: 231 ÷ 6 = 38R3; 6 x 38 = 228 and 228 + 3 = 231.
You can also use a calculator to divide, then you can compare the two answers. However, you must remember that quotients are given only in decimal form on most calculators. Therefore, you must multiply the whole number portion of the quotient by the divisor, take that answer and subtract it from the dividend to get the correct remainder. For example: 231 ÷ 6 = 38.5; 38 x 6 = 228 and 231 − 228 = 3; therefore 231 ÷ 6 = 38.5, is the same as 231 ÷ 6 = 38 R3.
- How can I decide whether the number I choose for the first digit in the quotient needs to be greater or lesser?
When the number being subtracted is greater than the number being subtracted from, adjust the quotient to a lesser number. When the answer to the subtraction is greater than the divisor, adjust the quotient to a greater number.
- Houghton Mifflin Math
- Grade 4
- Math Background
- Education Place
- Site Index
Copyright © Houghton Mifflin Company. All rights reserved.
- Terms and Conditions of Use
Math and Arithmetic
How do you check the quotient from a division problem?
Would you like to merge this question into it?
already exists as an alternate
of this question.
Would you like to make it the primary and merge this question into it?
exists and is an alternate of .
36 divided by 9 = 4
4 times 9 = 36
found this useful
Why can you write a division problem as a fraction?
10 long division problems?
Check for correctness in division math?
are u doing long division or short? well…i will write both..
short division t…o check ancwer(i will use the subtract sign as the division sign).
10-10=1 so its 1×10=10.
–100—– < the answer. 1 100. again just like the other (short division) multiply the quotient and the divisor (quotient=the answer) (divisor=the number u are dividing with) it should give u the divident.(divident=the bigger number u are dividing with)so.... 100. x 1 hope i helped at least a little !. -------. 100 (MORE)
In a division problem what is the number into which the diviser goes?
in the expression = 7, 2 is the divisor.
What is a problem that is solved by interpreting a quotient in division?
How can you check if a number is divisible by 6?
Explain how to check the quotient from a division problem?
If you have trouble remembering the steps for the traditional way to do division, all you have to do is remember this family: Dad says Dividedivisor), Mom says multiply(Divisor times quoitent so far), sister says subtract (dividend by the number under it), brother says bring down the next number(if there is one), Rover the dog gives the remainder(if there is one). If you don’t know how to divide on paper this will NOT work! Read more: http://wiki.answers.com/Q/How_do_you_check_the_quotient_from_a_division_problem#ixzz1d9bDTA5h . (MORE)
What is the answer to division problems?
A division can also be expressed as the divisor divided into a dividend to give the quotient ; this is written as: …………….. quotient ….…………. ———— divisor | dividend .
The quotient can be just the whole part of the result of the division, in which case there may also be a remainder. (MORE)
The sum is 20 the quotient is 9 how do you work that problem?
How do you check a division problem?
In a division problem what happens to the quotient when the dividend increases?
What is the quotient in division?
How do you check if division answer is right?
a/b = c.
c * b = a OR c * a = b
If a division answer is a quotient then what is a multiplication answer?
What is three plus the quotient of eight and four written as a problem?
Another answer: .
above is incorrect. it would be 3+ (8*4)
Explain how to check a division problem when it has a remainder?
What is a long division problem that has a 2 digit divisor a five digit divedend and a quotient of 308?
10,164 divided by 33 = 308 .
15,092 divided by 49 = 308 .
16,632 divided by 54 = 308 .
21,252 divided by 69 = 308 .
23,100 divided by 75 = 308 .
25,564 divided by 83 = 308 .
30,492 divided by 99 = 308
How do you check the quotient from a multiplication problem?
How can you use multiplication to check if a quotient is correct?
What websites answer division problems?
How can you use multiplication to check a quotient?
In complete division divisor and quotient are of dividend.?
What are the problems in division?
How to check division problems?
Why is division used to solve a problem?
How do you check addition with division?
How do you do partial quotients for division for fifth grade?
How do you check the answer to a decimal division question?
How can you use addition to check division?
Why can you use multiplication to check your answ er to a division problem?
What is a remainder and how are they used in division problem?
How can you use multiplication to check quotient?
What is the names of the numbers in a division problem?
Why you can use multiplication to check a division problem?
of division so it could be used to check my work
Do you have to check if 221 is divisible by 6?
How do you find the quotient and then check your answer?
How do you check the problem to a division problem?
How do you check if a number is divisible by 88?
Why is the answer for a division problem a quotient?
How do you check the correctness of a division answer that has no remainder?
How can you estimate the quotient help you check your answer for reasonableness?
How can you use mutiplication to check quotient?
What is the quotient of 3 division by 24 is?
How can you use multiplication to check a division?
How do you check the answer to a division question?
How do you get a formula when checking a division problem?
How do you check multiplication using division?
How do you check the correctness of a division answer that has no reminder?
How use multiplication to check the answer to a division problem?
Is quotient a division word or a multiplication word?
- © 2018 Answers
- Contact Us
- Consumer Choice
- IP Issues
Choose a video to embed
What is division?
Division is breaking a number up into an equal number of parts.
20 divided by 4 = ?
If you take 20 things and put them into four equal sized groups, there will be 5 things in each group. The answer is 5.
20 divided by 4 = 5.
Signs for Division
There are a number of signs that people may use to indicate division. The most common one is ÷, but the backslash / is also used. Sometimes people will write one number on top of another with a line between them. This is also called a fraction.
Example signs for “a divided by b”:
a ÷ b
Dividend, Divisor, and Quotient
Each part of a division equation has a name. The three main names are the dividend, the divisor, and the quotient.
- Dividend – The dividend is the number you are dividing up
- Divisor – The divisor is the number you are dividing by
- Quotient – The quotient is the answer
Dividend ÷ Divisor = Quotient
In the problem 20 ÷ 4 = 5
Dividend = 20
Divisor = 4
Quotient = 5
There are three special cases to consider when dividing.
1) Dividing by 1: When dividing something by 1, the answer is the original number. In other words, if the divisor is 1 then the quotient equals the dividend.
20 ÷ 1 = 20
14.7 ÷ 1 = 14.7
2) Dividing by 0: You cannot divide a number by 0. The answer to this question is undefined.
3) Dividend equals Divisor: If the dividend and the divisor are the same number (and not 0), then the answer is always 1.
20 ÷ 20 = 1
14.7 ÷ 14.7 = 1
If the answer to a division problem is not a whole number, the “leftovers” are called the remainder.
For example, if you were to try and divide 20 by 3 you would discover that 3 does not divide evenly into 20. The closest numbers to 20 that 3 can divide into are 18 and 21. You pick the closest number that 3 divides into that is smaller than 20. That is 18.
18 divided by 3 = 6, but there are still some leftovers. 20 -18 = 2. There are 2 remaining.
We write the remainder after an “r” in the answer.
20 ÷ 3 = 6 r 2
12 ÷ 5 = 2 r 2
23 ÷ 4 = 5 r 3
18 ÷ 7 = 2 r 4
Division is the Opposite of Multiplication
Another way to think of division is as the opposite of multiplication. Taking the first example on this page:
20 ÷ 4 = 5
You can do the reverse, replacing the = with a x sign and the ÷ with an equal sign:
5 x 4 = 20
12 ÷ 4 = 3
3 x 4 = 12
21 ÷ 3 = 7
7 x 3 = 21
Using multiplication is a great way to check your division work and get better scores on your math tests!
Advanced Kids Math Subjects
Intro to Multiplication
Intro to Division
Intro to Fractions
Decimals Place Value
Mean, Median, Mode, and Range
Order of Operations
Ratios, Fractions, and Percentages
Basic Laws of Math
Back to Kids Math
Back to Kids Study