Divide:$526 \div 11 = \square$

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Introduction to Division

Division is a fundamental operation in mathematics that involves splitting a number into equal parts or groups. It is the inverse operation of multiplication, where we find the quotient of two numbers. In this article, we will focus on dividing the number 526 by 11 and finding the result.

Understanding the Problem

The problem asks us to divide 526 by 11 and find the result. To solve this problem, we need to understand the concept of division and how to perform it. Division can be thought of as finding the number of times one number fits into another. In this case, we need to find how many times 11 fits into 526.

Step-by-Step Solution

To solve this problem, we can follow these steps:

  1. Write the problem: Write the problem as a division equation, which is 526 ÷ 11 = ?
  2. Divide the numbers: Divide 526 by 11 using long division or a calculator.
  3. Find the result: Find the result of the division and write it as the answer.

Using Long Division

One way to solve this problem is by using long division. Long division is a method of dividing numbers that involves dividing the dividend (526) by the divisor (11) and finding the quotient.

Step 1: Divide the first digit

The first step in long division is to divide the first digit of the dividend (5) by the divisor (11). Since 5 is less than 11, we can write 0 on top of the division bar.

Step 2: Multiply and subtract

Next, we multiply the divisor (11) by the number we wrote on top (0) and subtract the result from the first digit of the dividend (5). This gives us 5 - 0 = 5.

Step 3: Bring down the next digit

We then bring down the next digit of the dividend (2) and add it to the result we got in the previous step (5). This gives us 5 + 2 = 7.

Step 4: Divide the next digit

We then divide the result we got in the previous step (7) by the divisor (11). Since 7 is less than 11, we can write 0 on top of the division bar.

Step 5: Multiply and subtract

Next, we multiply the divisor (11) by the number we wrote on top (0) and subtract the result from the result we got in the previous step (7). This gives us 7 - 0 = 7.

Step 6: Bring down the next digit

We then bring down the next digit of the dividend (6) and add it to the result we got in the previous step (7). This gives us 7 + 6 = 13.

Step 7: Divide the next digit

We then divide the result we got in the previous step (13) by the divisor (11). This gives us 13 ÷ 11 = 1 with a remainder of 2.

Step 8: Write the result

We then write the result we got in the previous step (1) on top of the division bar.

Using a Calculator

Another way to solve this problem is by using a calculator. To do this, we simply type in the problem (526 ÷ 11) and press the divide button.

Conclusion

In conclusion, the result of dividing 526 by 11 is 47 with a remainder of 9. This can be written as 526 ÷ 11 = 47 R 9.

Final Answer

The final answer is: 47\boxed{47}

Introduction

In the previous article, we discussed how to divide 526 by 11 and find the result. In this article, we will answer some frequently asked questions related to the problem.

Q: What is the result of dividing 526 by 11?

A: The result of dividing 526 by 11 is 47 with a remainder of 9.

Q: How do I divide 526 by 11 using long division?

A: To divide 526 by 11 using long division, you need to follow these steps:

  1. Write the problem as a division equation, which is 526 ÷ 11 = ?
  2. Divide the first digit of the dividend (5) by the divisor (11) and write 0 on top of the division bar.
  3. Multiply the divisor (11) by the number you wrote on top (0) and subtract the result from the first digit of the dividend (5).
  4. Bring down the next digit of the dividend (2) and add it to the result you got in the previous step.
  5. Divide the result you got in the previous step by the divisor (11) and write the result on top of the division bar.
  6. Multiply the divisor (11) by the number you wrote on top and subtract the result from the result you got in the previous step.
  7. Bring down the next digit of the dividend (6) and add it to the result you got in the previous step.
  8. Divide the result you got in the previous step by the divisor (11) and write the result on top of the division bar.

Q: How do I divide 526 by 11 using a calculator?

A: To divide 526 by 11 using a calculator, you simply type in the problem (526 ÷ 11) and press the divide button.

Q: What is the remainder of dividing 526 by 11?

A: The remainder of dividing 526 by 11 is 9.

Q: Can I divide 526 by 11 using a pencil and paper?

A: Yes, you can divide 526 by 11 using a pencil and paper. You can use long division or simple division to find the result.

Q: How do I check my answer?

A: To check your answer, you can multiply the result you got by the divisor (11) and add the remainder. If the result is equal to the dividend (526), then your answer is correct.

Q: What if I get a different answer?

A: If you get a different answer, you may have made a mistake in your calculation. You can try again using a different method or check your work to see where you went wrong.

Q: Can I use a calculator to check my answer?

A: Yes, you can use a calculator to check your answer. Simply type in the problem (526 ÷ 11) and press the divide button. If the result is equal to the result you got, then your answer is correct.

Conclusion

In conclusion, dividing 526 by 11 is a simple problem that can be solved using long division or a calculator. We hope this article has helped you understand the problem and how to solve it.

Final Answer

The final answer is: 47\boxed{47}