Examples with solutions for Long Division: Simple division

Exercise #1

690

Video Solution

Step-by-Step Solution

To solve the division problem 90÷6 90 \div 6 , follow these steps:

  • Step 1: Identify the numbers involved, where 90 is the dividend and 6 is the divisor.
  • Step 2: Divide 90 by 6 using long division.
  • Step 3: Determine how many times 6 fits into 90 without exceeding it.

Let's perform the division:

90 divided by 6 equals 15, as 6 fits perfectly into 90 fifteen times (since 6×15=90 6 \times 15 = 90 ). There is no remainder left over.

Given the multiple-choice options, the correct choice is: 15 15 .

This means that 6 goes into 90 exactly 15 times, matching Option 1 of the given choices.

Answer

15 15

Exercise #2

216

Video Solution

Step-by-Step Solution

To solve this problem, we'll perform a simple division calculation:

  • Step 1: Identify the numbers involved in the division. We have a dividend of 16 and a divisor of 2.
  • Step 2: Use the division formula: quotient=dividenddivisor \text{quotient} = \frac{\text{dividend}}{\text{divisor}} .
  • Step 3: Substitute the numbers into the formula: quotient=162 \text{quotient} = \frac{16}{2} .
  • Step 4: Perform the division: 16÷2=8 16 \div 2 = 8 .

Therefore, the solution to the problem is 8 8 .

Answer

8 8

Exercise #3

525

Video Solution

Step-by-Step Solution

To solve the problem of dividing 25 by 5, we follow these steps:

  • Step 1: Identify the dividend and the divisor. In this case, the dividend is 25 and the divisor is 5.
  • Step 2: Perform the division 25÷5 25 \div 5 .

Now, let's execute the division:

Step 1: Divide 25 by 5. We ask ourselves how many times does 5 fit into 25.

Step 2: 5 goes into 25 exactly 5 times because 5×5=25 5 \times 5 = 25 and there's no remainder.

Thus, we find that the quotient is 5.

Therefore, the answer to the problem is 5 5 .

Answer

5 5

Exercise #4

714

Video Solution

Step-by-Step Solution

To solve this problem, we'll use the simple division approach:

  • Step 1: Identify the dividend and divisor. Here, the dividend is 14, and the divisor is 7.
  • Step 2: Apply the formula for division, 147 \frac{14}{7} .
  • Step 3: Calculate the division.

Now, let's work through each step:
Step 1: The given problem provides the dividend (14) and the divisor (7).
Step 2: Using the formula for division, divide the dividend by the divisor: 147 \frac{14}{7} .
Step 3: Performing the calculation gives us a quotient of 2.

Therefore, the solution to the problem is 2 2 , matching choice 3 in the provided options.

Answer

2 2

Exercise #5

238

Video Solution

Step-by-Step Solution

To solve this problem, let's carry out the division:

  • Step 1: Confirm the numbers involved. We are dividing 38 by 2, where 38 is the dividend and 2 is the divisor.
  • Step 2: Perform the division using long division or directly calculate 38÷2 38 \div 2 .
  • Step 3: Start dividing: 2 goes into 3 one time (since 2 fits into 3 once), leaving a remainder of 1.
  • Step 4: Bring down the next digit from the dividend. The sequence now is: how many times does 2 go into 18?
  • Step 5: 2 fits into 18 nine times exactly without any remainder.

Thus, 38÷2=19 38 \div 2 = 19 .

Therefore, the solution to this problem is 19 19 .

Answer

19 19

Exercise #6

565

Video Solution

Step-by-Step Solution

To solve the problem of dividing 65 by 5, follow these steps:

  • Step 1: Identify the dividend, which is 65, and the divisor, which is 5.
  • Step 2: Perform the division operation 65÷5 65 \div 5 .
  • Step 3: Calculate the quotient by determining how many times 5 goes into 65 evenly.

Now, let's execute the division:
Step 1: We recognize that 65 is the number to be divided, and 5 is the divisor.
Step 2: Apply division: 65÷5=13 65 \div 5 = 13 .
Since 65 divided by 5 yields a quotient of 13 without any remainder, we have found our solution.

Thus, the answer to the division problem is 13 13 .

Answer

13 13

Exercise #7

339

Video Solution

Step-by-Step Solution

To solve the problem 39÷339 \div 3, we will apply long division:

  • Step 1: Set up the division problem.
    Write 39 inside the division bracket and 3 outside as the divisor.
  • Step 2: Divide the first digit of the dividend by the divisor.
    Determine how many times 3 fits into 3 (the first digit of 39):
    3 fits into 3 exactly 1 time. Write 1 above the line.
  • Step 3: Multiply and subtract.
    Multiply 3 (divisor) by the result from the previous step (1), giving 3.
    Subtract 3 from 3, resulting in 0.
  • Step 4: Bring down the next digit of the dividend.
    Bring down 9 (the next digit from 39). The new number to consider is 9.
  • Step 5: Divide the result by the divisor.
    Determine how many times 3 fits into 9: 3 fits into 9 exactly 3 times. Write 3 above the line.
  • Step 6: Multiply and subtract again.
    Multiply 3 by 3, which gives 9. Subtract 9 from 9, resulting in 0.

The division process is complete with no remainder. The quotient is 13.

The final answer is 13\boxed{13}.

Answer

13 13

Exercise #8

448

Video Solution

Step-by-Step Solution

To solve this division problem, we will divide the number 48 by 4 and find the quotient.

The expression for this calculation is:

484 \frac{48}{4}

Let's perform the division:

  • We start with the number 48.
  • We divide 48 by 4. The question we are asking is: "How many times does 4 go into 48?"
  • By calculating, we find that 4 fits into 48 exactly 12 times.

The steps can be broken down as follows:

  • 4 goes into the first digit of 48 (4), 1 time.
  • The remainder from this division is 0, bring down the next digit, which is 8.
  • 4 goes into 8, 2 times (as 4 × 2 = 8).
  • There is no remainder, confirming the division is complete.

Thus, the quotient of 48 divided by 4 is:

12 12

Therefore, the correct answer is 12, which corresponds to choice 4.

Answer

12 12

Exercise #9

360

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the numbers involved: 60 (dividend) and 3 (divisor).
  • Step 2: Perform the division operation to find the quotient.

Let's work through these steps:

Step 1: In this problem, we need to divide 60 by 3.
Step 2: Using basic division, we calculate:

60÷3=20 60 \div 3 = 20

How we calculated this:
- Divide the tens digit, 6 by 3, which equals 2. Note that 2 as the first digit of the quotient corresponds to twenty since this operation considers the tens place.
- Multiply 2 by 3 to get 6, which subtracted from the original 6 leaves 0.
- Bring down the 0 in the units place.
- Now, divide 0 by 3. This results in 0.
- So, the units place of our quotient is also 0, confirming our answer is 20.

Therefore, the solution to the problem is 20 20 . This matches choice 3 (20) in the available options.

Answer

20 20

Exercise #10

222

Video Solution

Step-by-Step Solution

To solve this problem, we will divide 22 by 2 to find the quotient.

Step-by-step solution:

  • Step 1: Set up the division of 22 by 2.
  • Step 2: Divide the first digit of 22, which is 2, by 2. This gives us 1, with no remainder.
  • Step 3: Bring down the next digit, 2, making it 2 again.
  • Step 4: Divide 2 by 2, which gives us another 1.
  • Step 5: There are no more digits to bring down, and no remainder is left.

Therefore, the quotient when dividing 22 by 2 is 11 11 .

Comparing this with the provided multiple-choice options, the correct choice is option 3: 11 11 .

Answer

11 11

Exercise #11

550

Video Solution

Step-by-Step Solution

To solve this division problem, we will proceed as follows:

  • Identify the dividend, which is 50, and the divisor, which is 5.
  • Use the division formula: dividenddivisor=quotient\frac{\text{dividend}}{\text{divisor}} = \text{quotient}.
  • Calculate the quotient by dividing 50 by 5.

Let's carry out the calculation step:

The division is 505=10 \frac{50}{5} = 10 .

Therefore, the quotient of 50 divided by 5 is 10 10 .

The correct choice from the given options is: Choice 2: 10 10 .

Answer

10 10

Exercise #12

336

Video Solution

Answer

12 12