# Long Division — Let's Practise!

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## Basics on the topicLong Division — Let's Practise!

Today we are practicing long division with Razzi! This video contains examples to help you further practise and grow confident in this area

### TranscriptLong Division — Let's Practise!

Razzi says get these items ready because today we're going to practise long division. It's time to begin! Remember the steps to long division: divide, multiply, subtract, bring down, repeat. What is seventy-eight divided by three? Pause the video to work on the problem and press play when you are ready to see the solution! Check the steps and the quotient. Did you also get twenty-six? Let's tackle the next problem! What is three-hundred and forty-four divided by four? Pause the video to work on the problem and press play when you are ready to see the solution! Check the steps and the quotient. Did you also get eighty-six? Let's tackle the next problem! What is three-thousand six hundred and forty-two divided by six? Pause the video to work on the problem and press play when you are ready to see the solution! Check the steps and the quotient. Did you also get six hundred and seven? Let's tackle the final problem! What is seven thousand four hundred and eighty-three divided by seven? Pause the video to work on the problem and press play when you are ready to see the solution! Check the steps and the quotient. Did you also get one thousand and sixty-nine? Razzi had so much fun practising with you today! See you next time!

## Long Division — Let's Practise! 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 — Let's Practise!.
• ### Razzi is solving another division problem. Can you help him divide 132 $\div$ 4?

Hints

Remember the steps for long division:

Divide, Multiply, Subtract, Bring Down, Repeat

How many times does 4 go into 13? Write this number above the 3:

Multiply the 4 by the 3, write the product under the 13, and subtract:

Bring down the 2. How many times does 4 go into 12? Write this number above the 2.

Solution

Remember the steps for long division:

1. Divide.

4 does not go into 1, so we find how many times it goes into 13. It goes in 3 times, so we place the number 3 above the 3 in 13.

2. Multiply the divisor by the number on top: 4$\times$3.

The divisor is the number that is being divided by. It is the smaller of the two numbers in the expression. For instance, in 132$\div$4, 4 is the divisor.

3. Subtract the product: 13-12.

4. Bring Down the next digit.

5. Repeat these steps with this new number (in this case, 12).

The answer is 33.

• ### Use long division to solve the problem.

Hints

Begin by dividing the total amount of money Dazzle has (the dividend) by the cost of each bag of sweets (the divisor). This will give you the number of bags of sweets Dazzle can afford to buy.

The total amount of money Dazzle has is £135. The cost of each bag of sweets is £3. Therefore, we calculate 135$\div$3.

Remember the steps for long division:

Divide, Multiply, Subtract, Bring Down, Repeat

3 does not go into 1, so we find how many times it goes into 13. How many times does 3 go into 13? Write this number above the 13.

Solution

Remember the steps for long division:

1. Divide.

3 does not go into 1, so we find how many times it goes into 13. It goes in 4 times, so we place the number 4 above the 3 in 13.

2. Multiply the divisor by the number on top: 3$\times$4.

The divisor is the number that is being divided by. It is the smaller of the two numbers in the expression. For instance, in 135$\div$3, 3 is the divisor.

3. Subtract the product: 13-12.

4. Bring Down the next digit.

5. Repeat these steps with this new number (in this case, 15).

The answer is 45 bags of sweets.

• ### Use long division to solve the problem.

Hints

Divide the expected number of guests by the number of chairs each table can fit to find how many tables Razzi needs.

The expected number of guests is 436. The number of chairs each table can fit is 4. Therefore, we calculate 436$\div$4.

How many times does 4 go into 4? 1 time. Write the 1 above the 4 in the dividend as the first step.

Solution

Remember the steps for long division:

1. Divide 4$\div$4.

4 goes into 4 1 time.

2. Multiply 4$\times$1.

3. Subtract the product: 4-4.

4. Bring Down the next digit.

5. Repeat these steps with this new number (in this case, 3). 4 goes into 3 0 times, so we write a 0 at the top and continue with steps 2-5.

The answer is 109 tables.

• ### Use long division to find the following quotients.

Hints

Remember the steps for long division:

Divide, Multiply, Subtract, Bring Down, Repeat

Solution

The correct answers are:

• 114$\div$6 = 19
• 206$\div$2 = 103 (see image)
• 1150$\div$5 = 230 (see image)
• 217$\div$7 = 31

For example, to solve 1150$\div$5:

1. Divide 11$\div$5. 5 does not go into 1, so we find how many times it goes into 11. It goes in 2 times, so we place the number 2 above the second 1 in 11.

2. Multiply 5$\times$2.

3. Subtract the product: 11-10.

4. Bring Down the next digit.

5. Repeat these steps with this new number (in this case, 15). You will need to repeat the steps twice to reach to the end of 1150.

The answer is 230.

• ### What are the steps of long division?

Hints

The first step is to divide.

For example: in 132$\div$4, we divide 13$\div$4. 4 goes into 13 3 times.

The next step is to multiply.

For example: we multiply 4 by the number we've written on top (in this case 3): 4$\times$3

Look at the steps in this division problem. What happens after we multiply the 3 and 4 and place their product (12) under the 13?

Solution

The steps of long division are:

1. Divide
2. Multiply
3. Subtract
4. Bring Down
5. Repeat
• ### Find the quotient.

Hints

How many times does 9 go into 9?

9 goes into 9 1 time. Write this number above the 9 in the dividend.

Multiply 9$\times$1, and subtract the product: 9-9.

Bring down the next digit in the dividend (the 4).

Then repeat the steps. 9 does not go into 4, so write 0 above the 4 in the dividend.

Solution

Remember the steps for long division:

1. Divide 9$\div$9.

9 goes into 9 1 time.

2. Multiply 9$\times$1.

3. Subtract the product: 9-9.

4. Bring Down the next digit.

5. Repeat these steps with this new number (in this case, 4). 9 goes into 4 0 times, so we write a 0 at the top and continue with Steps 2-5.

You will need to repeat the steps 3 times to reach to the end of 94,257.

The answer is 10,473.