Divide Two Numbers- WebMath

 

how to solve long division problems

Below is the process written out in full. 4 − 0 = 4 Now we subtract the bottom number from the top number. Bring down the next digit of the dividend. 42 ÷ 25 = 1 remainder 17 Divide this number by the divisor. The whole number result is placed at the top. Any remainders are ignored at this point. Visit Cosmeo for explanations and help with your homework problems! Home. Math for Everyone. General Math. K-8 Math. Algebra. Plots & Geometry. Trig. & Calculus. Other Stuff. Divide Two Numbers. This page will show you a complete "long division" solution for the division of two numbers. 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.


How to teach long division: a step-by-step method


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 how to solve long division problems 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 how to 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. 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 how to solve long division problems 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, how to solve long division problems, 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, and then adding the remainder, how to solve long division problems. 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 Next, 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 with 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. 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 long 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 using 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, how to solve long division problems.

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. 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

 

how to 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. Below is the process written out in full. 4 − 0 = 4 Now we subtract the bottom number from the top number. Bring down the next digit of the dividend. 42 ÷ 25 = 1 remainder 17 Divide this number by the divisor. The whole number result is placed at the top. Any remainders are ignored at this point. 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.