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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.

How a division is laid out 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:

Bus stop long division 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.

How to work out long division This image shows the answer to 96 divided by 8 using the long division method.

Long Division 2 Digit By 1 Digit – Summary

Number Step
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 organising 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 organise 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 organise 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: First we see how many times five goes into the first digit of fifty five. Five goes into five once. So we write one here. Next, we move on to the second digit, which is also five. Five goes into five once, so we write one here as well. 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 sort them into groups of seven. We set up the problem like this. First, we see how many times seven goes into the first digit, which is eight. Seven goes into eight once, with one left over. So, we write the one above the eight here and carry the remaining one over in front of the four. Now, we need to find how many sevens are in fourteen. Seven goes into fourteen two times, so we write two here. Eighty four divided by seven equals twelve. That means the skydiving photos will take up twelve pages of the album. Finally, look at the pictures from the space mission. This time there are ninety-six pictures and there are going to be eight on each page. How many pages will this take up? 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. We find how many times eight goes into nine, once, with one remaining. Then, carry the one over in front of the six so it becomes sixteen. How many eights go into sixteen? Two! So our answer is twelve. The space photos will take up the last twelve pages of the album. Remember, long division is a way to organise the calculation of a division problem. To divide we follow these steps: First see how many times the divisor goes into the dividend, starting with the first digit. Next, write the answer above and carry any remainder across to the next digit. Then see how many times the divisor goes into this number and write the answer above. What’s this? Seems like there are some photos that didn’t make it into the album!

Long Division -2 digit by 1 digit exercise

Would you like to apply the knowledge you’ve learnt? You can review and practice it with the tasks for the video Long Division -2 digit by 1 digit.
  • 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.
  • What is 84 $\div$ 6?

    Hints

    Remember that you are finding how many 6s are in 84.

    The first step is to divide - how many groups of 6 are in 8? What comes next?

    There is one 6 in 8. Carry the remaining 2 over in front of the 4. Next, how many 6s are in 24?

    Solution

    84$\div$6 = 14

    • First, how many 6s are in the first digit 8?
    • There is one 6 in 8. Put a 1 over the 8 and carry the remaining 2 over in front of the 4.
    • How many 6s are in 24?
    • There are four 6s in 24, so put a 4 over the 4.
    • The answer is 14.
  • Solve the word problem.

    Hints

    This is how you can set up this long division problem.

    First, how many 3s go into the first digit 4? Write this above the 4.

    Carry the remainder over in front of the next digit, 8.

    Solution

    The jungle photos will go onto 16 pages.

    48$\div$3 = 16

  • Solve the problems.

    Hints

    Write out each division with the dividend inside the bar and the divisor on the outside. 69$\div$3 should be set out like this.

    Start by seeing how many times the divisor goes into the first digit in the dividend.

    Solution
    • 69$\div$3 = 23
    • 98$\div$7 = 14
    • 85$\div$5 = 17
    • 72$\div$4 = 18
    • 58$\div$2 = 29
  • How should the division be set up?

    Hints

    In 417 $\div$ 3, the total amount to be divided is the dividend and goes under the bar. The divisor is how much it is being shared between and goes on the outside of the bar.

    What is the dividend and what is the divisor in 48$\div$4?

    Solution
    • The correct layout has the total amount to be divided, the dividend, below the bar.
    • The divisor, how much the dividend is being shared between, goes on the outside of the bar.
    • The top of the bar is empty as this is where the quotient (answer) will go.
  • What album should Mr. Squeaks use?

    Hints

    417$\div$3 = ?

    This is how you can set up the division problem.

    • Dividend
    • Divisor
    How can you find the quotient?

    Solution

    417$\div$3 = 139. Mr. Squeaks and Imani will need a photo album with 139 pages.