Long Division -2 Digit by 1 Digit
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Basics on the topic Long Division -2 Digit by 1 Digit
Long Division – What Is Long Division?
Have you ever heard of long division? Long division is a method that can be used to divide larger numbers. Imagine you have to transport 110 children to a sports match but only 5 children can fit in each car. If you wanted to find out how many cars would be needed, you could use the long division method! You may already have learnt about division by sharing or grouping. You may even have done some long division chunking before, but in ks2, long division is often solved using this written method. Read on to find out how to do the long division method!
When we have a larger number that is 2 digits or more and we want to divide it by a single digit, we can use the so-called long division method. Long division can sometimes give us an answer with remainders, but in this long division video and text we learn just about long division with no remainders.
This image shows each part of the division question, labelled as the divisor, dividend and quotient.
How To Do Long Division – Step By Step Instructions
Follow this step by step long division guide to find out how to do long division with 2 digits:
First, we set up the division with the dividend at the bottom. This is the total amount we have to divide. We also set up the divisor on the outside, this is what we are dividing by. This set-up is sometimes called the bus stop method of long division. It is depicted on the following illustration:
This image shows how we lay out 96 divided by 8.
Next, we see how many times our divisor goes into the first digit in the dividend. We write this above the line and any remainders we carry over to the next part of the dividend. We then repeat this step. How many times does the divisor go into the next number? Write the answer above the line.
Long Division 2 Digit By 1 Digit – Example with Answer
Let’s look at another problem that we can solve using long division. This time there are 96 photos and there are going to be 8 on each page. How many pages will we need to use in the album? First, we put the dividend, 96, at the bottom, and the divisor, 8, on the side. Then, we follow the long division method for how to do long division with 2 digits:
First, how many times does 8 go into 9? It goes in once, so we put 1 above the 9 and carry the 1 over to the 6 to make 16. Then, we look at how many times 8 goes into 16. It goes in twice, so we write 2 above the 6. Our answer, or quotient, is 16. It is important to always follow these long division steps to find the answer.
This image shows the answer to 96 divided by 8 using the long division method.
Long Division 2 Digit By 1 Digit – Summary
|1||Write the amount to be divided, the dividend at the bottom.|
|2||Write the amount you are dividing by, the divisor on the outside.|
|3||See how many times the divisor goes into each part of the dividend, starting with the first digit.|
|4||Write this answer on the top, and carry any remainders over to the next digit in the dividend.|
|5||Repeat this process until you have gone through each digit in the dividend. Your final answer will be written on the top, this is the quotient.|
Long Division 2 Digit By 1 Digit – Practice Worksheets
Now that you have read all about how to work out long division, how many cars would be needed to transport the children to the sports match? Remember, there were 110 children and only 5 children could fit in each car. 110 divided by 5 = 22, so 22 cars would be needed.
Next to the text you can find more long division examples and long division worksheets. With these long division ks2 worksheets you can practise to become confident and fluent at solving long division problems. You could even have a go at the fun exercises where long division questions and answers can be found. Enjoy!
Transcript Long Division -2 Digit by 1 Digit
Mr. Squeaks and Imani are organizing photos of their past adventures into a photo album. They want to determine how many pages of the photo album they need for each group of photos to make sure they will all fit. We can help organize the photo album with… “ Long Division - Two Digit by One Digit" A division sentence has three parts. The dividend... the divisor... and the quotient. In long division, we organize them like THIS. The dividend is INSIDE the division bar, (...) the divisor HERE, (...) and the quotient is written on TOP. Using the pictures from Mr. Squeaks and Imani’s ski trip, we’ll use long division to calculate how to group photos in the album. They have fifty-five photos, so we’ll put that dividend HERE. They are going to put five photos per page, so that divisor will go HERE. To solve for the quotient we will follow these steps… Divide(...), multiply(...)subtract (...)bring down (...) repeat First, we DIVIDE the tens in the dividend by the divisor. To divide, we ask, how many groups of five are in five? There is ONE and we write it above the TENS place. Next, we MULTIPLY this number by the divisor... five times one equals five... and write this answer BELOW the tens in the dividend. Now, we need to SUBTRACT the numbers in the tens place. Five minus five is zero. Finally, BRING DOWN the number from the ones place... and we will repeat these steps. Five goes into five one time... and we write it HERE. Multiply one by the divisor, five. One times five is five and(...)we write that number HERE. SUBTRACT the numbers in the ones place. Five minus five is zero. There are no more numbers to bring down... so the number at the top is our quotient. Fifty-five divided by five equals eleven, so... the ski trip photos take up eleven pages of the album. Next, they have eighty-four photos from their infamous skydiving adventure, (...)and they are going to group them by sevens. We set up the problem like THIS. First, we DIVIDE seven into eight. There is ONE group of seven in eight... so, we write the one ABOVE the tens place in the quotient. Now, multiply one by the seven (...) to get seven. Where do we put the seven? (...) We put it UNDER the eight in the tens place. Now subtract,(...) eight minus seven is one. What is the next step? (...) We need to bring down the four... and repeat the steps. We now have fourteen... Seven goes into fourteen,(...) two times. Where do we write the answer? (...) Above the ones place in the quotient. What is our next step? (...) Multiply (...) two times seven equals fourteen. Where do we put our answer? (...) Under the fourteen. What is the final step? (...) Subtract(...) fourteen minus fourteen equals zero. Since there are no more numbers to bring down from the dividend, (...) this is our quotient. The skydiving photos will be on twelve pages of the album. Finally, look at the pictures from the space mission. Since there are ninety-six pictures, they are going to group them into eights. Pause the video and try this one on your own before we review the answer. How many pages do they need for the space photos? Ninety-six divided by eight is... twelve. HERE'S our work. The space photos will take up the last twelve pages of the album. Remember... long division is a way to organize the calculation of a division problem. To divide we follow these steps: Divide Multiply Subtract Bring down next place value in the dividend. Repeat steps until all digits in the dividend have been used. What’s this? (...) end after he puts together the album, we see the pics that didn't make it.
Seems like there are some photos that DIDN'T make it into the album!
I love long division!
Long Division -2 Digit by 1 Digit exercise
What are the parts of a division problem?Hints
The number that is being divided goes underneath the bar line.
The dividend is the number being divided into equal parts.
The completed solution of a division problem is placed at the top of the bar line.
The quotient is the number you get when you complete a division problem.Solution
65$\div$5 = 13
- The dividend (65) goes inside the division line.
- The divisor (5) goes on the outside of the division line.
- The answer or the quotient (13) goes on top of the division line.
Put the steps to find the quotient in order.Hints
Can you find the steps from this division problem?
The first step is finding how many equal groups there are in the first digit of the dividend and the divisor.Solution
Steps to long division:
- Bring down
Solve the word problem.Hints
This is how you can set up this long division problem.
Use these steps to help you solve the division problem.Solution
The jungle photos will go onto 16 pages.
48$\div$3 = 16
Solve the problems.Hints
Remember the steps of long division.
This is an example of how you can solve the problems above.
The first step is, "how many equal groups of 3 are there in 7?"Solution
- 69$\div$3 = 23
- 98$\div$7 = 14
- 85$\div$5 = 17
- 72$\div$4 = 18
- 58$\div$2 = 29
What is 84 $\div$ 6?Hints
You can set up the long division method of 84 $\div$ 6 like this.
The first step is divide - how may groups of 6 are in 8? What comes next?
Look at the steps that have been completed - what's next?Solution
84 $\div$ 6 = 13 Here are the steps:
- Step 1: Divide the first digit of the dividend by 6. Here it will be 8 ÷ 6.
- Step 2: Now, 8 is not divisible by 6 but 6 × 1 = 6, so, write 1 as the first digit in the quotient.
- Step 3: Write 6 below 8 and subtract 8 - 6 = 2.
- Step 4: Bring down 4 from the dividend to make it 24.
- Step 5: 24 is divisible by 6 and we know that 6 × 4 = 24, so, write 4 in the quotient.
- Step 6: Write 24 below 24 and subtract 24 - 24 = 0.
- Step 7: There are no other digits to bring down therefore, the quotient = 24.
What album should Mr. Squeaks use?Hints
This is how you can set up the division problem.
Use these steps to help you solve this problem.Solution
417$\div$3 = 139 Mr. Squeaks and Imani will need a photo album with 139 pages.