**2500 divided by 12** This is a topic that many people are looking for. **newyorkcityvoices.org** is a channel providing useful information about learning, life, digital marketing and online courses …. it will help you have an overview and solid multi-faceted knowledge . Today, ** newyorkcityvoices.org ** would like to introduce to you **Division of Large Numbers: Long Division**. Following along are instructions in the video below:

Remember this little technique from elementary school? I’m sure you hated it then, but now you can handle it! It’s actually a remarkably elegant technique, and we can even use it to get quotients with tons of decimal places, so it’s particularly effective as well. Refresh your memory or learn it for the first time! It’s tons of fun.

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‘s professor dave let’s learn how to do long division after we learned about about the concept of multiplication. We had to learn how to multiply not just small together. But also large ones and we saw some different strategies for how to do this.

The same goes for division.

Sometimes. It’s easy to divide two numbers. Twelve divided by three is clearly four since four goes into twelve three times.

But what about six hundred twenty four divided by three just as there is an algorithm for the multiplication of large numbers.

There is one for division as well and it is called long division. This technique is usually remembered with great disdain from childhood. But if we look carefully we can see the elegance of this technique and appreciate the patterns that it reveals it works just like our multiplication method simply in reverse instead of multiplying.

One number through the units place of another number then the tens place and so forth.

We will divide one number by another starting with the largest place value of the larger number and then the next largest and so forth moving down until we get to the units place. Let’s try this with the example. We mentioned we place.

The first number the dividend inside this symbol here and the other number the divisor goes to the left now we just go through the dividend.

One number at a time three goes into six two times or in other words. Six. Divided by three is two so we put a two here in the hundreds place of the quotient now we do two times three.

Which is six place that directly under the first six and then subtract six minus six is zero.

So we draw a line and write a zero here. Then we drop the next digit down and repeat. The process.

The next digit is a two three does not fit into two or rather two divided by three is less than one.

So. Let’s put a zero here zero. Times three is zero two minus zero.

Is two and then we drop down the five three fits into twenty five a little more than eight times.

Because three times eight is twenty four. So let’s put an eight here then eight times three is twenty four as we said and subtracting from twenty five. We get one now there are no more digits to drop down and three doesn’t fit into one so.

This is called the remainder three fits into six hundred twenty five two hundred and eight times with one left over or we can say that six hundred twenty five divided by three is two hundred eight remainder one so that’s all there is to long division.

We go one digit at a time just like we did with multiplication except. We go left to right instead of right to left since division is meant to be the reverse of multiplication. Let’s try one more for practice three hundred ninety seven divided by eleven this time we have to divide by a two digit number eleven doesn’t fit into three.

So let’s put a zero get a zero down here.

Which leaves us with three then we bring down the nine eleven does fit into thirty nine three times. So we put a three multiply to get thirty three subtract to get six and then pull down the seven eleven fits into sixty seven six times. So we put a six multiply to get sixty six and subtract to get one eleven doesn’t fit into one and we’ve run out of digits in the dividend.

So that will be thirty six with a remainder of one if we don’t like these remainders. We could keep going to get decimal places. Just put a decimal here and add a zero drop it down to get ten eleven doesn’t fit in ten.

So we put a zero multiply to get a zero and subtract to get ten. Then we pull down another zero and we get one hundred eleven fits into a hundred nine times. So we place the nine multiply to get ninety nine and subtract to get one we would soon find out that this process could go on forever.

Giving alternating zeroes and nines forever. And this is our first introduction to repeating decimals. Which will come back later when we look at the difference between rational and irrational numbers for now let’s check comprehension.

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