ClassX Video Lessons Youtube Channel Smile and Learn English 2 DIGIT DIVISION ➗ Long Division ???????????? Divide two digit numbers
Hello friends! Today, we’re going to explore long division with a twist—our divisor will have two digits. Before we dive in, let’s remember how to divide by one digit. In division, the number we want to divide is called the dividend, and the number we divide by is the divisor.
For example, if we have 3225 divided by 25, 3225 is the dividend, and 25 is the divisor. Knowing your multiplication tables is super important because they help us with division.
Imagine we have 3225 spaceships and want to share them equally among 25 planets. How many spaceships will each planet get? Let’s find out!
First, look at the dividend. If the first number is smaller than the divisor, we pick the next number. Since our divisor has two digits, we start with the first two digits of the dividend. Here, 32 is greater than 25, so we can use it.
Now, we need to figure out which number multiplied by 25 is closest to 32 without going over. One times 25 is 25, which works because two times 25 is 50, and that’s too big. We write 1 above the line and 25 below 32, then subtract. This gives us 7.
Since 7 is less than 25, we bring down the next number from the dividend, making it 72. What number times 25 gets us close to 72? Two! We write 2 next to 1 above the line. Two times 25 is 50, so we subtract 50 from 72, leaving us with 22.
Now, we bring down the next number, making it 225. Which number times 25 equals 225? Nine! We write 9 next to 12 above the line. Nine times 25 is 225, and when we subtract, we get zero. This means our division is exact.
The answer to 3225 divided by 25 is 129. This is called the quotient. Each planet gets 129 spaceships, and since there’s no remainder, it’s an exact division.
Want to make sure you did it right? There’s a rule: the dividend equals the divisor times the quotient plus the remainder. For our problem, 3225 equals 25 times 129 plus zero. If you multiply 25 by 129, you get 3225, so we did it correctly!
Great job! You’ve learned how to divide with a two-digit divisor. Keep practicing, and soon it will be easy for you. See you next time!
We’ve covered a lot today, but there’s so much more to learn. Check out more videos on the Smile and Learn educational channel to keep learning and having fun!
Spaceship Division Game: Gather some small objects like blocks or coins to represent spaceships. Pretend you are dividing them among planets. For example, if you have 50 objects and want to divide them among 5 planets, how many does each planet get? Try different numbers and see how division works in real life. Can you find a way to divide them so that each planet gets the same amount?
Division Detective: Become a detective and find division problems around you. Look at things like sharing snacks, toys, or even time. For instance, if you have 24 cookies and 6 friends, how many cookies does each friend get? Write down your findings and share them with your class. Can you find a division problem that has a remainder?
Multiplication Match-Up: Create a set of cards with multiplication problems on one side and their answers on the other. Mix them up and try to match the problems with the correct answers. This will help you remember multiplication facts, which are super helpful for division. Can you create a fun story using one of the multiplication problems?
Here’s a sanitized version of the provided YouTube transcript:
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Hello friends! Today we are going to learn about long division, but this time the divisor will have two digits. Remember, to divide by two digits, we must first know how to divide by one digit.
Do you remember the parts that make up division? When we divide a quantity, that number is called the dividend, while the number we divide by is called the divisor. In division, we divide the dividend by the divisor.
For example, 3225 divided by 25 means 3225 is the dividend and 25 is the divisor. When dividing, we need to know the multiplication tables very well, as they are essential for doing division.
Imagine we want to distribute 3225 spaceships equally on 25 planets. How will we know how many spaceships will go on each planet? Let’s solve the problem!
First, we must look at the numbers of the dividend. If the first number of the dividend is smaller than the divisor, we will have to choose the next number of the dividend. In this case, since the divisor has two digits, we will select the first two digits of the dividend.
Let’s start! First, we have to see how many digits of the dividend we have to use. As I mentioned before, the number of the dividend we are going to divide has to be equal to or greater than the number of the divisor. In this case, 32 (the first two digits in 3225) is greater than 25, so we don’t need to choose the next number of the dividend.
Now we have to mentally calculate which number multiplied by the divisor is closest to the dividend. Which number multiplied by 25 gives us 32 or less?
One multiplied by 25 equals 25. We can’t use two because if we multiply it by 25, we get 50, which is greater than 32. So, we write down one above the line on top of the two and put the multiplication below the dividend—in our case, 25 under 32—and subtract.
So, 32 minus 25 equals 7, and we write the result below. Now, since 7 is less than 25, we have to bring the next number down from the dividend, and we get our next number: 72.
Which number multiplied by 25 gives us 72 or something close? Two! If we multiply by 3, we go over, and if we multiply by one, it’s too small. We will write 2 next to 1 above the line.
So, 25 times 2 is 50. We will write 50 under 72 and subtract. What’s the result? 22! That’s right! 22 is less than 25, so what do we do when the number is smaller than the divisor? We have to bring the next number down from the dividend.
Now we have to divide a big number. Which number multiplied by 25 gives us 225 or something close? It isn’t easy! Nine! Excellent! If we multiply by 10, it’s too big, and if we multiply by 8, it’s too small.
Since 25 times 9 is 225, we write this number below and then subtract. We will write 9 next to 1 and 2. The result of 225 minus 225 is zero. This means the remainder of this division is zero.
This means that 3225 divided by 25 equals 129. We know this because we have no more numbers left to bring down from the dividend, so we’re done. This result is also called the quotient of the division.
That is, the number of spaceships each planet gets—in this case, we will put 129 spaceships on each planet. If there are no more numbers left to divide, we arrive at the remainder. If the remainder of the division is equal to zero, it is said to be an exact division. When the remainder is not zero, then we have leftover numbers after dividing the dividend by the divisor.
Did you know that there’s a way to check if we have done the division correctly? There is one rule that applies to all divisions: the dividend of a division is equal to the divisor multiplied by the quotient plus the remainder.
In this division, it would be 3225 is equal to 25 multiplied by 129 plus zero. If we do the multiplication, we can see that 25 multiplied by 129 equals 3225.
And that’s it! We know that we have followed all the steps correctly because we’ve checked our division. You’re amazing! That’s all for today. You’ve been super attentive. Let’s see how easy it is for you to divide from now on. See you in the next class!
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