How To Do Long Division Examples

We know that 2 2 4 so we write 2 as the quotient. 1 is written on top.


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Lets figure out what 22 1 1 67 is so the first thing I like to do is I dont like to divide by a decimal so Im going to multiply 6 point 7 Im going to multiply 6 point 7 by 10 which is essentially just taking this decimal space this is decimal and moving it one space to the right well I cant just do that to the six point seven I also have to do that to the two point two one so let me.

How to do long division examples. First you have to write down the problem in long division format. The whole number result is placed at the top. Long division can also be used to divide decimal numbers into equal groups.

Lets try a fairly simple example. What Are the 5 Steps of Long Division. Given below are the 5 main steps of long division.

Heres an example of long division with decimals. 4 Drop down the next digit. A typical division problem looks like this.

Divide 548 5. Divide x2 9x 10 by x 1 Think back to when you were doing long division with plain old numbers. Now we subtract the bottom number from the top number.

1204 4 4 goes into 1 zero times 1 - 0 1 2 drops down 4 goes into 12 three times first number in the answer is 3 12 - 12 0 0 drops down. 435 25 17 R 10. This long division math youtube video tutorial explains how to divide big numbers the easy way.

Solved Example for Long Division Arrange the 4-digit dividend 2-digit divisor numbers for long division method and compare if the the first two digits. 25 7 175. Find the difference.

So 5 5 1. Steps to be followed when the first digit of the dividend is equal to or greater than the divisor in the long division. Long DivisionLong Division To Decimal PlacesLong Division IndexNumbers Index.

Youll need to write these down using the standard formatting for a division problem. These will show you the step-by-step process of how to use the long division method to work out any division calculation. 384 12 32.

Divide this number by the divisor. Any remainders are ignored at this point. Check how many times the divisor can be accommodated in the 94 and write the value as part of quotient.

175 25 7 remainder 0. Bring down the next digit of the dividend. Of these steps 2 and 3 can become difficult and confusing to students because they dont seemingly have to do with division they have to do with finding the remainder.

It explains how to perform long division with 2-digit diviso. 288 12 24 Example 2. Long division is an algorithm that repeats the basic steps of 1 Divide.

Consider the first digit of the dividend. 5 is not divisible by 2. 65 5.

That method is called long polynomial division and it works just like the long numerical division you did back in elementary school except that now youre dividing with variables. Here are two long division examples laid out for you. To write this down in long division format it looks like this.

With a long division with remainders the answer is expressed as 17 remainder 10as shown in the diagram. Dividend Divisor Quotient. Lets consider an example.

Now lets write that problem down in the long division format. If you need more long division examples then take a look at Third Space Learnings White Rose lesson slides and worksheets for Year 6 Four Operations. Calculate 3312 24 STEP 1 write the numbers in the correct division.

Now that you know how to do a long division problem its time to try a few examples yourself. It follows the same steps as that of long division namely divide multiply subtract bring down and repeat or find the remainder. Here the first digit of the dividend is 5 and it is equal to the divisor.

For example let us see how we divide 52 by 2.


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