Contributor: Erika Wargo. Lesson ID: 12410
Students are divided over the ease of solving math problems; some find it hard, others easy. But long division doesn't have to take long if you follow these simple steps that involve "family members"!
The new book you bought has 345 pages. If you read 15 pages per day, how many days will it take you to finish the book? What operation can be used to solve this problem?
Long division involves dividing, multiplying, and subtracting.
Breaking the problems into smaller steps will help you solve the problems. The image below shows a division bar with important terms relating to division:
quotient 
remainder 

divisor 
dividend 
Watch Math Antics  Long Division with 2Digit Divisors, a video that will walk you through the steps of solving a long division problem with a 2digit divisor. As you watch the video (it will stop at 9:35), focus on finding the answers to the following questions:
Discuss the questions with a parent or teacher after you watch:
When dividing a two or threedigit number by a twodigit number, the same steps are followed until there are no more numbers remaining in the dividend and you have a solution. Some problems will have an amount left over after dividing the numbers in the dividend, and that is the remainder. Not all problems will have a remainder.
If you can remember these four words, "Daddy," "Mother," "Sister," "Brother," you can remember the steps for long division.
Divide (Daddy)
Multiply (Mother)
Subtract (Sister)
Bring down (Brother)
Let's look at how to set up and solve the problem from the beginning of the lesson:
The new book you bought has 345 pages. If you read 15 pages a day, how many days will it take you to finish the book? What operation can be used to solve this problem?
Since you have a total, 345, and you are dividing it into equal groups, 15 pages per day, the division problem is 345 ÷ 15.
Step 1 Rewrite the problem.
15 
345 
Step 2 Begin dividing by finding how many equal groups of the divisor, 15, you can divide into 345. 15 cannot divide into 3 because 15 is greater than 3. A helpful hint to keep in mind is if the divisor has 2 digits, look at the first 2 digits of the dividend when you start dividing. Since 15 cannot divide into 3, a zero can be placed in the quotient above the 3.
15 
345 
02 

15 
345 
Step 3 Multiply the digit of the quotient, which is 2, by the divisor, which is 15. Write the answer below the dividend and subtract. Then, bring down the next digit in your dividend.
This is a good spot to stop and check your work so far. All of the steps of long division have been done: divide, multiply, subtract, bring down. After you subtract, compare that number, the difference, to the divisor.
02 

15 
345 

 
30 

45 
Step 4 After you subtracted and brought down the next digit in the dividend, your new dividend is 45. Divide 45 by 15, which is 3. The 3 is written in the quotient. Multiply 3 x 15, which is 45. Subtract 45 and get a result of zero. The problem is finished and there is no remainder.
02 

15 
345 

 
30 

45 

 
45 

0 
Discuss with a parent or teacher:
In the Got It? section, you will practice dividing numbers with a twodigit divisor with interactive practice.
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