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Archive for the ‘Division Worksheets’ Category

So, we have zero on top of two and underneath. Then treating each column separately, we subtract 253 by whatever number B is underneath 2 which in this case is zero. That gives 253 again. Now you may think we have not gotten anywhere but in Long Division, we have progressed. We are done with the first column so now it’s time to move to the second column.

Now, for any column, you want to take care of the number in that column and any numbers to the left of it. In this case, the number in the second column is 5 but 2 still remains in the first column so you have 25 to work with in the second column. So, how many times can 5 divide into 25? The answer is 5, so A for the second column is 5 and you write 5 on top. (where the blue question-mark is). At the bottom, B is 5 times 5 which is 25 so you write 25 at the bottom.

now treating each column separately, we subtract 25 from 253. The first column is zero and so is the second column. That leaves the third column as three. Now we want to divide 5 into 3. However, since 3 is smaller than 5, 5 can divide into 3 zero times. So, we again write zero on top of the roof in the third column and at the bottom write B = 5 x 0 = 0. That means the remainder is 3 or we can keep the Long Division going.

So, for this Long Division, 253 divided by 5 is 50 with the remainder of 3.

Long Division is one of the first method of Division you would learn in math. when doing long Division, you can either leave a remainder or keep dividing until no more Division can be performed. Let’s start our long Division with an example. Divide 235 by 5.

To do a long Division, write the Division above as:

In another word, put the number to be divided inside the L shape roof and the number to divide into that number on the left hand side outside the roof. Now we are ready to start the long Division calculation.

The first step is to mentally separate the number inside the roof (i.e. 253) into columns.

We will always start from the left column and work our way towards the most right column. In the first column, we have 2 under the roof and we must divide 2 by 5. So, how many times can 5 divide into 2? Well, since 2 is smaller than 5, the answer is none or zero. So, we write zero on the top of the roof above the number 2 (still staying in the same column as two). The long Division works as follows:

However many times, 5 can divide into 2, put that number where A is on top of the roof. In this case, A is zero since 2 is less than 5. Then at the bottom of 2, multiply A by the number on the left hand side of the roof (5 in this case). Since A is zero, B is also zero. So, we get:

Out of four fundamental math operations, Addition, Subtraction, Multiplication and division, division is regarded as the most difficult by many math learners. The good news is there are many free division worksheets to help you practice division. Once you get the hang of it, division is not that hard.

When you first learn about division, you often learn about Long Division. There are many free division worksheets with Long Division problems. There are even Long Division worksheets alone. The more division worksheets you do, the better you will get at doing division.

What is division?

First of all the symbol for division is:

But there are a few ways to show that a number is divided by another number as follows. Let’s have as a division example, 6 divided by 2. We can write this as:

So, you can use the division symbol between 6 and 2, or put 6 at the top and 2 at the bottom separated by a line or 6 on the left and 2 on the right separated by a slanted line.

So, what does a division Mean? When you divide a number by another number, say divide 6 by 2, you are asking how many times 2 can go into 6. Let’s see an illustration of division.

In this illustration of division, there are 6 balls in the top row and 2 balls in the bottom. To divide 6 by 2 is to ask how many times, the 2 balls below can fit into the 6 balls above. The answer is 3. As you can see, you can group 6 balls into 3 groups of 2 balls.

So whenever you are solving a division problem. Think of how many times the smaller number can be fitted into the larger number and if there is any number left, either call it a remainder or keep dividing into decimals. For example, if there were 7 balls instead of 6. Then 7 divided by 2 is 3 with 1 as a remainder or 3.5 as the answer.