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Long Division- Multi Digits by 1 Digit

Content Long Division- Multi Digits by 1 Digit
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Basics on the topic Long Division- Multi Digits by 1 Digit

Long division multi digit by 1 digit

In this Long Division Video

Mr. Squeaks is trying to earn enough money to be able to attend his next adventure. He decides that he will offer babysitting services to earn the funds he needs. Several families hire Mr. Squeaks and we use the method of long division of multi-digit numbers by 1 digit divisors to calculate the amount of money he makes each time he babysits. Will Mr. Squeaks’ babysitting service pay off in the end?

Example of Multi Digit Long Division

25553_UK_SEO_Line-67.svg We look at how to see how many times the divisor goes into each digit in the dividend.

In this video learn how to solve long division word problems by using long division step by step. This video shows how to use the method, sometimes known as bus stop method long division, to find out how much money Mr Squeaks made from his babysitting services.

There are also long division worksheets to practise with on this site.

Transcript Long Division- Multi Digits by 1 Digit

Mr. Squeaks needs funds for his next historical adventure, so he's starting a business to raise money! He starts a babysitting service and it's really popular! Mr. Squeaks wants to work out exactly how much he has been making! We can help work out how much he earned through babysitting by using long division - multi-digit by one digit. In long division, we organise the dividend (how much we are dividing), divisor (how much we are dividing between) and quotient (the answer),like this. In long division, we find the quotient or answer by following a sequence of steps. The Field Family hired Mr. Squeaks to watch their children three times and paid him three hundred and sixty-three pounds in total. To find out how much he made for each babysitting session, we can do a division calculation. To do this, we will divide three-hundred and-sixty-three by three. Put the dividend, three hundred and sixty-three here and the divisor, three, here. We will see how many threes are in three hundred and sixty three by working through each digit one at a time. The first digit in the dividend is three, so we see how many threes go into three. Three goes into three once. So we write one above the three here. Now let's move on to the next digit, which is six. How many times does three go into six? Twice, so we write two above the six here. The last digit we need to check is three. How many times does three go into three? Three goes into three once, so we write one here. We have seen how many times three goes into each digit and written the quotient above. Our answer is one hundred and twenty one. So Mr Squeaks was paid one hundred and twenty one pounds per babysitting session. The Vole's hired Mr. Squeaks to babysit five times and paid him two hundred and forty-five pounds in total. We can divide two hundred and forty-five by five to see how much he earned each time. We need to see how many times five goes into each digit. What is our first step? Our first step is to see how many fives are in two. What do you notice when you think about how many times five goes into two? It doesn't work, as five is bigger than two. So we need to look at the first two digits together. How many times does five go into twenty-four? There are four fives in twenty-four because four times five is twenty. So we write four here. As we reached twenty and we were seeing how many fives were in twenty four, we carry the remaining four across to the next digit. We write the four here. Now we need to see how many fives are in forty five. There are nine fives in forty-five, so we write nine here. Our answer is forty-nine. The Vole's paid Mr. Squeaks forty- nine pounds for each babysitting session. Remember, long division is a way to organise the calculation of a division problem. To divide we follow these steps: Set up your division calculation with the dividend here and you divisor here. One digit at a time, see how many times your divisor goes into the dividend. If the divisor does not fit into the first digit, look at the first two digits together. Remember to carry across any remainders after seeing how many times the divisor has fit into the dividend. Mr. Squeaks has earned enough money to go on his long-awaited adventure. Mr. Squeaks, Mr. Squeaks, Mr. Squeaks, it’s time for you to go on your trip.

Long Division- Multi Digits 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- Multi Digits by 1 Digit.
  • Find the quotient.

    Hints

    Step 1: Divide.

    How many times does 2 go into 8? Write this number above the 8.

    2 goes into 8 four times. Write the 4 above the 8 like this. Next, how many times does 2 go into the next digit, 4?

    Solution
    • Step 1: Divide. How many times does 2 go into 8? Four times. Write this 4 above the 8.
    • Step 2: How many times does 2 go into 4? Two times. Write this 2 above the 4.
    • Step 3: How many times does 2 go into 2? One time. Write this 1 above the 2.

    The answer is £421.

  • Complete the division problem.

    Hints

    Step 1: Divide

    How many times does 2 go into 4? Write this number above the 4.

    2 goes into 4 two times.

    Next, how many times does 2 go into 8?

    2 goes into 8 four times, so write 4 on the top. What is the next step?

    Solution
    • Step 1: Divide. How many times does 2 go into 4? Two times. Write this 2 above the 4.
    • Step 2: How many times does 2 go into 8? Four times. Write this 4 above the 8.
    • Step 3: How many times does 2 go into 8? Four times. Write this 4 above the 8.
    • Step 4: How many times does 2 go into 0? Zero times. Write this 0 above the 0.

    The answer is 2,440.

  • Solve the division problem.

    Hints

    To calculate how many hours Mr. Squeaks will need to work to afford his Paris trip, you will need to divide the cost of the trip by how much he charges per hour to babysit.

    The cost of the Paris trip is £747. The amount Mr. Squeaks charges per hour to babysit is £9. Therefore, we calculate 747$\div$9.

    Step 1: Divide. How many times does 9 go into 7? 9 does not go into 7, so we find how many times it goes into 74. It goes in 8 times with 2 remaining, so we place the number 8 above the 4 and carry the 2 in front of the 7.

    .

    Solution

    To calculate how many hours Mr. Squeaks will need to work to afford his Paris trip, you will need to divide the cost of the trip by how much he charges per hour to babysit.

    747$\div$9 = 83 hours

  • Solve the following division problems.

    Hints

    For 410$\div$5...

    5 goes into 41 eight times. Write this 8 above the 1.

    For 639$\div$9...

    9 goes into 63 seven times. Write this 7 above the 3.

    Solution

    Written worked solution for 410$\div$5:

    1. Divide 410$\div$5. 5 does not go into 4, so we find how many times it goes into 41. It goes in 8 times remainder 1, so we place the number 8 above the 1 in 41 and carry the 1 in front of the 0.

    2. How many times does 5 go into 10? Twice. So we write 2 above the 0.

    The answer is 82.

    410$\div$5 = 82

    5,205$\div$5 = 1,041

    639$\div$9 = 71

    3,393$\div$3 = 1,131

  • Solve the division problem.

    Hints

    Step 1: Divide. How many times does 4 go into 4? 4 goes into 4 one time. Write the 1 above the 4 in the dividend.

    Next, how many times does 4 go into 8?

    4 goes into 8 two times. Write the 2 above the 8 like this.

    Solution
    • Step 1: Divide. How many times does 4 go into 4? One time. Write this 1 above the 4.
    • Step 2: How many times does 4 go into 8? Two times. Write this 2 above the 8.
    • Step 3: How many times does 4 go into 4? One time. Write this 1 above the 4.

    The answer is 121.

  • Complete the following mathematical expressions.

    Hints

    For 4,935$\div$7: 7 does not go into 4 so we see how many times it goes into 49. 7 goes into 49 7 times. How many time does 7 go into 3? 0 times.

    For 3,996$\div$___ = 1,332:

    3,996 divided by what equals 1,332?

    One strategy to find a missing divisor is to use "guess and check." Try each possible divisor (3, 4, 5) until one of them gives you a quotient of 1,332.

    Another strategy is to use the inverse. Since multiplication is the inverse of division we can see, 1,332 x what = 3,996.

    Solution

    Written worked solution for 4,935$\div$7:

    Step 1. Divide 49$\div$7. 7 does not go into 4, so we find how many times it goes into 49. It goes in seven times, so we place the number 7 above the 9 in 49.

    Step 2. How many times does 7 go into 3? It goes in zero times so we place 0 above the 3 and carry the 3 in front of the 5.

    Step 3. How many times does 7 go into 35? Five times, so we write 5 above the 5.

    The answer is 705.

    The answers the the questions are:

    1. 248$\div$2 = 124

    2. 450$\div$ 5 = 90

    3. 3,996$\div$ 3 = 1,332

    4. 4,935$\div$7 = 705