240 Divided By 8: Simple Calculation Explained

When faced with a division problem like "240 divided by 8," the goal is to find out how many times the number 8 fits into the number 240. This is a fundamental arithmetic operation that helps us distribute quantities equally or determine how many groups of a certain size can be made from a larger whole.

The Basic Concept of Division

Division is one of the four basic arithmetic operations, alongside addition, subtraction, and multiplication. It's essentially repeated subtraction. In the case of 240 divided by 8, we are asking: "How many times can we subtract 8 from 240 until we reach zero?"

Mathematically, division is represented by the symbol "÷" or a forward slash "/." So, "240 divided by 8" can be written as 240 ÷ 8 or 240/8.

Methods to Solve 240 Divided by 8

There are several ways to solve this, from simple mental math to long division:

• Estimation and Multiplication: You can estimate how many times 8 goes into 240. For instance, you know that 8 x 10 = 80. Since 240 is much larger than 80, the answer will be significantly more than 10. You might try 8 x 30 = 240. This quick mental check often yields the answer.
• Long Division: This is a systematic method for dividing larger numbers. It involves a step-by-step process of dividing, multiplying, subtracting, and bringing down numbers.
  1. Set up the problem: Write 240 as the dividend (the number being divided) and 8 as the divisor (the number by which you are dividing).
  2. Divide the first digit (or digits) of the dividend by the divisor. How many times does 8 go into 2? It doesn't, so consider the first two digits: 24.
  3. How many times does 8 go into 24? It goes in 3 times (8 x 3 = 24).
  4. Write the 3 above the 4 in the dividend (this is the quotient).
  5. Multiply the quotient digit (3) by the divisor (8): 3 x 8 = 24.
  6. Subtract this product from the part of the dividend you used: 24 - 24 = 0.
  7. Bring down the next digit from the dividend, which is 0.
  8. You now have 0. How many times does 8 go into 0? It goes in 0 times (8 x 0 = 0).
  9. Write the 0 next to the 3 in the quotient.
  10. Multiply this new quotient digit (0) by the divisor (8): 0 x 8 = 0.
  11. Subtract: 0 - 0 = 0. There are no more digits to bring down, so the remainder is 0.
• Breaking Down the Number: You can break 240 into easier numbers to divide. For example, 240 can be seen as 24 tens. Since 24 divided by 8 is 3, then 24 tens divided by 8 is 3 tens, which is 30.

The Answer: 30

Using any of these methods, we find that 240 divided by 8 equals 30. This means that 8 fits into 240 exactly 30 times. You can verify this by multiplying: 30 x 8 = 240.

Practical Applications of Division

Division is a concept used in everyday life:

• Sharing: If you have 240 cookies and want to share them equally among 8 friends, each friend would receive 30 cookies.
• Calculating Averages: If a car travels 240 miles in 8 hours, its average speed is 240/8 = 30 miles per hour.
• Resource Allocation: If a project requires 240 units of a resource and you have 8 teams contributing, each team might be responsible for 30 units.

Understanding how to perform division, even with larger numbers like 240 divided by 8, is a foundational skill that empowers problem-solving in various contexts.

Frequently Asked Questions about 240 Divided by 8

What is 240 divided by 8?

240 divided by 8 is 30. This means that the number 8 can be subtracted from 240 exactly 30 times before reaching zero, or that 8 groups of 30 make 240.

How do you calculate 240 divided by 8 manually?

Manually, you can use long division. Set up 240 as the dividend and 8 as the divisor. Divide 24 by 8 to get 3, then bring down the 0. Divide 0 by 8 to get 0. The result is 30. Alternatively, you can recognize that 24 divided by 8 is 3, so 240 (which is 24 tens) divided by 8 is 3 tens, or 30.

Is 240 divisible by 8?

Yes, 240 is divisible by 8 because the division results in a whole number (30) with no remainder.

What is the quotient of 240 and 8?

The quotient of 240 and 8 is 30. The quotient is the result of a division operation. — NYC Poster: Capture The Spirit Of New York City

How can I check if 240 divided by 8 is correct?

You can check your answer by multiplying the quotient (30) by the divisor (8). If 30 multiplied by 8 equals 240, then your division is correct. Indeed, 30 x 8 = 240. — Top White NBA Players: Legends And Stars

What if I divide 240 by a different number, like 10?

If you divide 240 by 10, the answer is 24. This is because dividing by 10 typically involves moving the decimal point one place to the left, or simply removing a trailing zero if the number ends in zero.

What is the relationship between 240, 8, and 30?

They are related through the operation of division and multiplication. 240 is the dividend, 8 is the divisor, and 30 is the quotient. This can be expressed as 240 ÷ 8 = 30, or 8 x 30 = 240, or 240 / 30 = 8. — Marion, OH Weather: Forecast & Conditions

Conclusion

Calculating "240 divided by 8" is a straightforward division problem that results in 30. Understanding the principles of division, whether through estimation, long division, or breaking down numbers, is a crucial mathematical skill. This knowledge is applicable in numerous real-world scenarios, from sharing resources to calculating speeds. Always remember to check your work by multiplying the quotient by the divisor to ensure accuracy.