There is also a commonly used algorithmic method that is well explained and illustrated here at mathisfun. The example below shows the same algorithmic steps alongside place value blocks to help show what is actually happening during the division process. Watch an animated mini-lesson showing how to do long division.
It shows the same steps as below. We need to break the hundreds into tens. So with the 6 tens we started with we now have 36 tens.
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We can start sharing. We can share 2 tens with each of the 16 groups. We need to break the tens into ones. So with the 8 ones we started with we now have 48 ones. We can share 3 ones with each of the 16 groups. Once you have worked through the steps above with your children try a "hands on" division exercise using money.
Step by Step Guide for Long Division
Repeat with different amounts of money and numbers of groups. Write the algorithmic steps as you go. This brief overview of division should highlight that teaching and learning division has as much to do with multiplication as it does with division. I'm not sure how many people understand what is happening when you bring down the next digit or understand why you have to add a zero to the answer when the "number after subtracting" is less than the divisor.
One problem I see with Double Division is that you have to do more subtraction. I personally find subtraction harder than multiplication. The other problem is that not counting the trial and error Double Division will usually have more steps. Any multiple you pick works.
You don't always have to pick the largest possible one; sometimes I pick the easiest one to subtract. In long division you write the answer on the top and have to get each digit of the answer exactly right - because there is only room there to write one number. Fill in known the values and click Step 1, Next, Next,,,. Each step is explained here, and the step is highlighted below. Here is how I see it so far: I don't know how many times go into Double, double, double, subtract the best ones, add up the answer.
Dividing numbers
If we assume there is an equal chance of all ten digits being in the answer then on average there will be 1. For example a "7" in the answer requires 3 steps, and a zero in the answer requires no steps. Also remember that the multiply part of the "multiply and subtract" steps is already done for you. So this part will be faster. Enter your name and click "Play". A long division problem will appear on the screen.
Online Math Long Division Activities & Problems for Kids
Drag the digits from the left hand side, and place them carefully in the correct locations on the worksheet, to solve the problem. If you made a mistake you can drag a digit outside the worksheet, to get rid of it. These games focus on long division and can be a wonderful boon for teachers looking for interactive online activities for their students. Whether the student is an absolute beginner in long division or has been learning it for some time, he will find something of value to his studies here.
Step 2: M for Multiply
Each activity has a multitude of math problems that are presented in a simple, easy-to-read format that kids will find enjoyable and fun and is very conducive to learning the material. The instructions for each module are presented step-by-step to minimize confusion and contains several examples so students will quickly learn the concepts and begin working on the solving the problems. Many of the activities offer feedback by advising students if any answers are incorrect, so they can try again. The games on this page are mainly geared towards 4th grade students. Math Games Place Value Probability.