4 Easy Ways to Do Long Division (with Pictures) - wikiHow

 

solve long division problems

16 Long Division Worksheets. Long division worksheets with problems focusing on factors of ten, with and without remainders. Working these problems can build slightly different skills such as dropping zeroes to solve problems, which is slightly different from the steps for long division traditionally but still reinforces the same concepts. How to teach long division in several steps. Instead of showing the whole algorithm to the students at once, students first practice only the dividing, next the 'multiply & subtract' part, and lastly use the whole long division algorithm. Long division is a way to solve division problems with large numbers. Basically, these are division problems you cannot do in your head. Getting started. One of the problems students have with long division problems is remembering all the steps. Here’s a trick to mastering long division. Use the acronym DMSB, which stands for.


Long Division Worksheets


In this article I explain how to teach long division in several steps. Instead of showing the whole algorithm to the students at once, we truly take it "step by step". Long division is an algorithm that repeats the basic steps of 1 Divide; 2 Multiply; 3 Subtract; 4 Drop down the next digit.

Of these steps, 2 and 3 can become difficult and confusing to students because they don't seemingly have to do with division —they have to do with finding the remainder. To avoid the confusion, I advocate teaching long division in such a fashion that children are NOT exposed to all of those steps at first, solve long division problems. Instead, you can teach it in several "steps" :. We divide numbers where each of the hundreds, tens, and ones digits are evenly divisible by the divisor.

The GOAL in this first, easy step is to get students used to two things:. Example problems for this step follow. Students should check each division by multiplication, solve long division problems. You can put zero in the quotient in the hundreds place or omit it. But 4 does go into 24, six times. Put 6 in the quotient. The 2 of is of course in reality. If you divided by 4, the result would be less thanso that is why the quotient won't have any whole hundreds.

But then you combine the 2 hundreds with the 4 tens. That makes 24 tens, and you CAN divide 24 tens by 4. More example problems follow. Check your answer by multiplying the quotient and the divisor. Now, there is a remainder in the ones units.

Thousands, hundreds, and tens digits still divide evenly by the divisor. First, students can solve the remainder mentally and simply write the remainder right after the quotient:. So combine the 1 hundred with the 6 tens So combine the 3 thousands with the 2 hundreds 3, This is a very important step! In the problems before, you just wrote down the remainder of the ones.

Usually, we write down the subtraction that actually finds the remainder. Look carefully:. When dividing the ones, 4 goes into 7 one time. This finds us the remainder of 3. When dividing the ones, 4 goes into 9 two times.

This finds us the remainder of 1. Here are some example problems. Now, the students check the answer by multiplying the divisor times the quotient, solve long division problems, and then adding the remainder.

Next, drop down the 8 of the ones next to the leftover 1 ten. You combine the remainder ten with 8 ones, and get The division is over since there are no more digits in the dividend.

The quotient is Solve long division problems, drop down the 8 of the ones next to the 1 leftover ten. There are no more digits to drop down. I feel the long division algorithm AND why it works presents quite a complex thing for students to learn, so in this case I don't see a problem solve long division problems students first learning the algorithmic steps the "how"and later delving into the "why".

Trying to do both simultaneously may prove to be too much to some. However, once the student has a basic mastery of how to do long division, it is time to also study what it is based on, solve long division problems. To learn more about that, please see:. Why long division works based on repeated subtraction. Long division worksheets Create an unlimited supply of worksheets for solve long division problems division gradesincluding with 2-digit and 3-digit divisors.

The worksheets can be made in html or PDF format - both are easy to print. You can also customize them solve long division problems the generator. Instead, you can teach it in several "steps" : Step 1: Division is even in all the digits.

Here, students practice just the dividing part. Step 2: A remainder in the ones. Step 3: A remainder in the tens. Students now use the whole algorithm, including "dropping down the next digit", using 2-digit dividends. Step 4: A remainder in any of the place values.

Students practice the whole algorithm using longer dividends. Step 1: Division is even in all the digits We divide numbers where each of the hundreds, tens, and ones digits are evenly divisible by the divisor, solve long division problems. The GOAL in this first, easy step is to get students used to two things: To get used to the long division "corner" so that the quotient is written on top. To get used to asking how many times does the divisor go into the various digits of the dividend.

Explanation: The 2 of is of course in reality.

 

Step by Step Guide for Long Division

 

solve long division problems

 

How to teach long division in several steps. Instead of showing the whole algorithm to the students at once, students first practice only the dividing, next the 'multiply & subtract' part, and lastly use the whole long division algorithm. Long division is a way to solve division problems with large numbers. Basically, these are division problems you cannot do in your head. Getting started. One of the problems students have with long division problems is remembering all the steps. Here’s a trick to mastering long division. Use the acronym DMSB, which stands for. 16 Long Division Worksheets. Long division worksheets with problems focusing on factors of ten, with and without remainders. Working these problems can build slightly different skills such as dropping zeroes to solve problems, which is slightly different from the steps for long division traditionally but still reinforces the same concepts.