Long Division — Let's Practise!

Long Division — Let's Practise! exercise

• 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.