1237 divided by 64

Natasha willow

2 min read

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18-03-2025

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Dividing 1237 by 64 might seem daunting at first glance, but with a systematic approach, it becomes manageable. This article will guide you through the process of long division, explaining each step clearly. We'll explore the solution, discuss the remainder, and provide some context for understanding the result.

Understanding Long Division

Long division is a method for dividing large numbers into smaller parts. It's a fundamental arithmetic skill with many real-world applications. In this case, we're breaking down 1237 into groups of 64.

Calculating 1237 Divided by 64

Let's perform the long division step by step:

1. Set up the problem: Write 1237 inside the long division symbol (⟌) and 64 outside.

2. Divide the first digits: How many times does 64 go into 123? It goes in 1 time (64 x 1 = 64). Write '1' above the '3' in 1237.

3. Multiply and subtract: Multiply 64 by 1 (which is 64) and write it below 123. Subtract 64 from 123, leaving 59.

4. Bring down the next digit: Bring down the '7' from 1237, making the new number 597.

5. Divide again: How many times does 64 go into 597? It goes in 9 times (64 x 9 = 576). Write '9' above the '7' in 1237.

6. Multiply and subtract (again): Multiply 64 by 9 (which is 576) and write it below 597. Subtract 576 from 597, leaving 21.

7. The Remainder: The number 21 is the remainder. This means that 64 goes into 1237 nineteen times with 21 left over.

Therefore, 1237 divided by 64 is 19 with a remainder of 21.

Expressing the Result

We can express this result in a few different ways:

• Quotient and Remainder: 19 R 21 (This is the most common way to express the result when working with whole numbers.)
• Decimal Form: To express the answer as a decimal, we divide the remainder (21) by the divisor (64): 21/64 ≈ 0.328. Therefore, 1237/64 ≈ 19.328.

Real-World Applications

Understanding long division is crucial for various real-world tasks, including:

• Sharing resources equally: Imagine distributing 1237 items among 64 people. Each person would receive 19 items, with 21 items remaining.
• Calculating unit costs: If 64 units of something cost 1237 dollars, the cost per unit is approximately 19.33 dollars.
• Solving mathematical problems: Long division forms the basis of many more complex mathematical computations.

Conclusion

This detailed step-by-step guide demonstrates how to divide 1237 by 64 using long division. The result is 19 with a remainder of 21, or approximately 19.328 in decimal form. Mastering this fundamental skill is invaluable for various mathematical and practical applications. Remember to practice regularly to improve your understanding and speed.