How to Solve Division Problems and Find the Right Answer
Finding the right answer when you're dividing can be tricky. Keep reading to learn some tips and tricks for getting the correct solution to your division problems!
Getting Division Problems Right
Know How to Solve
The first step in getting division problems right is using the correct process to solve them. When you're working with long division problems, it's important to have the basic division facts memorized. Use flashcards to master all of the division facts within 100.
It also helps to know that division is the inverse of multiplication. This means you can multiply the quotient of a division problem (the answer) by the divisor (number you're dividing by) to get the dividend (number being divided). For instance, in the problem 12 ÷ 3 = 4, 12 is the dividend, 3 is the divisor and 4 is the quotient, so 4 x 3 = 12.
Once you've mastered your basic division facts, the next step is to get a handle on long division. One of the most challenging aspects of dividing larger numbers is estimating each digit of the answer. For instance, when you're dividing 645 by 9, you'll start by estimating how many times 9 goes into 64. Below are several techniques you can use to help you estimate:
 1. Round the divisor and the dividend. For instance, you could round 9 up to 10 and 64 down to 60. Since 60 ÷ 10 = 6, and 9 is less than 10, this means 9 can go into 64 more than 6 times.
 2. Use your division facts to estimate. For this problem, you know that 9 x 6 = 54 and 9 x 7 = 63, so 7 is likely to be the best fit.
 3. Guess and check. You can also just pick a reasonable number and see if it works. If you multiply and see that the result is too large, you need to choose a smaller number. If you multiply and subtract to get a result that's larger than the divisor, you need to choose a larger number.
Checking Your Answer
Even if you've followed the correct procedure to solve your division problem, it's still possible that you made a small mathematical error somewhere along the line. Fortunately, there's a very effective way to check that your answer is correct. Follow these steps:
 1. Using a calculator or pencil and paper, multiply the quotient by the divisor.
 2. If the answer to the division problem has a remainder, add the remainder to the result of the multiplication.
 3. If the answer you get is the same as the dividend, then you've solved the division problem correctly. If not, you'll need to recheck your multiplication. If you're sure that it's correct, then go back and check your work in the division problem.
Other Articles You May Be Interested In

Division can be confusing, especially when working with larger numbers. Read on to learn how to help your fifth grader remember how to divide many different lengths of numbers.

Looking for a way to get your child engaged with math? There are many free, fun math games online that explore basic concepts such as addition, subtraction, multiplication and division, as well as more advanced games that offer practice with decimals and fractions. Read on to discover five of our favorite educational  and fun! ...
We Found 7 Tutors You Might Be Interested In
Huntington Learning
 What Huntington Learning offers:
 Online and incenter tutoring
 One on one tutoring
 Every Huntington tutor is certified and trained extensively on the most effective teaching methods
K12
 What K12 offers:
 Online tutoring
 Has a strong and effective partnership with public and private schools
 AdvancEDaccredited corporation meeting the highest standards of educational management
Kaplan Kids
 What Kaplan Kids offers:
 Online tutoring
 Customized learning plans
 RealTime Progress Reports track your child's progress
Kumon
 What Kumon offers:
 Incenter tutoring
 Individualized programs for your child
 Helps your child develop the skills and study habits needed to improve their academic performance
Sylvan Learning
 What Sylvan Learning offers:
 Online and incenter tutoring
 Sylvan tutors are certified teachers who provide personalized instruction
 Regular assessment and progress reports
Tutor Doctor
 What Tutor Doctor offers:
 InHome tutoring
 One on one attention by the tutor
 Develops personlized programs by working with your child's existing homework
TutorVista
 What TutorVista offers:
 Online tutoring
 Student works oneonone with a professional tutor
 Using the virtual whiteboard workspace to share problems, solutions and explanations