4 420 divided by 170

Daniel Parker

2 min read

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28-02-2025

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What is 4420 divided by 170? This seemingly simple division problem can be solved using several methods. This article will guide you through the process using long division, explaining each step clearly. We'll also touch upon alternative methods for solving this type of problem.

Understanding Division

Before diving into the calculation, let's refresh our understanding of division. Division is the process of splitting a number (the dividend) into equal parts, with the number of parts specified by another number (the divisor). The result is called the quotient. In this case, 4420 is the dividend and 170 is the divisor. We're looking for the quotient – the result of dividing 4420 by 170.

Method 1: Long Division

Long division is a traditional method suitable for solving this problem. Here’s a step-by-step approach:

1. Set up the problem: Write the dividend (4420) inside the long division symbol and the divisor (170) outside.

2. Estimate the first digit: How many times does 170 go into 442? A good estimate is 2 (170 x 2 = 340). Write the "2" above the "2" in 4420.

3. Multiply: Multiply the divisor (170) by the estimated digit (2). This gives you 340. Write this below the 442.

4. Subtract: Subtract 340 from 442. This leaves you with 102.

5. Bring down the next digit: Bring down the "0" from the dividend, creating the number 1020.

6. Estimate again: How many times does 170 go into 1020? A good estimate is 6 (170 x 6 = 1020). Write the "6" above the "0" in 4420.

7. Multiply: Multiply the divisor (170) by the estimated digit (6). This gives you 1020. Write this below the 1020.

8. Subtract: Subtract 1020 from 1020. The remainder is 0.

Therefore, 4420 divided by 170 is 26.

Method 2: Using a Calculator

For a quicker solution, you can use a calculator. Simply enter 4420 ÷ 170 and press the equals button. The answer will be 26.

Checking Your Work

To verify your answer, you can perform the inverse operation: multiplication. Multiply the quotient (26) by the divisor (170): 26 x 170 = 4420. Since this matches the original dividend, your answer is correct.

Conclusion

Dividing 4420 by 170 results in a quotient of 26 with a remainder of 0. Both long division and a calculator can be used to solve this problem effectively. Understanding the process of division is crucial for various mathematical applications. Remember to always check your answer using multiplication to ensure accuracy.