Hello and welcome to Long Division.
If you're here, you've already gotten the hang of basic division.
Long division involves dividing bigger numbers, but the process is pretty much the same.
Do you remember learning that division problems can be written two different ways?
The first way uses this division symbol, but the second uses the long division symbol.
This is a short vertical line and a long horizontal line.
The dividend, or the number to be divided goes inside this symbol.
The divisor, or the number you're dividing by goes outside of the symbol.
Let's write a long division problem to practice this.
Here 156 is the dividend and 13 is the divisor.
Let's work this problem.
We don't have to figure out how many times 13 goes into 156
or how many groups of 13 there are in 156 in just one step.
First, let's see how many times 13 can go into each number.
13 can't go into 1, but can 13 go into 15?
Yes it can, but only once.
So, we write a 1 above the 5 on top of the long division sign.
Now we just took 13 out of 15, so we need to subtract.
There is still a 6 up there, so we're going to bring that down by the 2.
And now that 2 is a 26.
How many times can 13 go into 26?
Did you say 2?
Let's put a 2 next to the 1 on top of the long division symbol.
2 times 13 is 26.
26 minus 26 is 0, so we've solved 156 divided by 13.
The answer is 12.
To check your work, you'll use multiplication.
What is 13 times 12?
Let's do the math.
It's 156, so now we know we were right.
You can use multiplication to check your answer for any division problem.
Now we'll work a few problems together.
These may not be as easy as the last one.
So first, let's try 1,440 divided by 12.
Remember, we're breaking this down.
So, how many times does 12 go into 14, or how many groups of 12 are there in 14?
Well, 1.
Now let's subtract 12 from 14 and bring down the 4.
We have 24.
12 can go into 24 twice.
Now we have to bring that down to 0 and 12 can't go into 0 at all, so let's write 0.
Our answer is 120.
Let's try another.
We're going to divide 362 by 4.
4 can't go into 3 because 4 is more than 3, but it can go into 36.
How many times does 4 go into 36?
It goes into 36, 9 times,
or there are 9 groups of 4, so let's write a 9.
That worked out well, but now we have a problem.
We just brought down a 2, and a 4 can't go into a 2 at all.
So, we have to write a 0 over the 2 above the long division symbol.
And now we have a remainder of 2 left over.
So, we write the answer as 90 R2.
Let's try just one more problem.
Let's divide 924 by 16.
16 can't go into 9 at all, however it can go into 92.
Do you remember your multiplication tables?
5 times 16 is 80, and 6 times 16 is 96, so 5 is as close as we can get.
Now if we subtract 80 from 92 we get 12.
So, let's bring down the 4, and we have 124.
7 times 16 is 112, but 8 times 16 is 128, so we'll write a 7 over the 4 in 924.
124 minus 112 is 12, so that is our remainder.
The answer is 57 R12.
To sum it up in a few simple tips:
1. Work from left to right.
It doesn't matter how big the dividend is, you're still working with it in small chunks.
2. Remember to bring down the next number,
and don't forget that 0 is also a number.
3.Use multiplication to check your work.