1237 divided by 64

Daniel Parker

2 min read

·

18-03-2025

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Introduction:

Many people find long division challenging. This article will guide you through dividing 1237 by 64, explaining each step clearly. We'll break down the process to make it easier to understand. Whether you're a student brushing up on your math skills or just curious about the answer, this article is for you. Understanding long division is a fundamental math skill with applications in many areas. Let's dive into solving 1237 divided by 64.

Understanding the Problem: 1237 ÷ 64

Our problem is to find how many times 64 goes into 1237. This will give us a quotient (the answer) and potentially a remainder (what's left over). We'll use long division to solve this.

Step-by-Step Solution: Long Division of 1237 by 64

Let's work through the long division step-by-step:

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

   64 | 1237
   

2. Divide the first digits: How many times does 64 go into 12? It doesn't, so we move to the next digit. How many times does 64 go into 123? We can estimate. 64 is close to 60, and 60 goes into 120 two times. Let's try 2.

3. Multiply and subtract: Multiply 2 by 64 (2 x 64 = 128). Since 128 is larger than 123, we know 2 is too high. Let's try 1. 1 x 64 = 64. Subtract 64 from 123: 123 - 64 = 59.

   1
   64 | 1237
   -  64
   -----
       59
   

4. Bring down the next digit: Bring down the next digit from the dividend (7). This gives us 597.

   1
   64 | 1237
   -  64
   -----
       597
   

5. Divide again: How many times does 64 go into 597? We can estimate. 60 goes into 600 ten times, so let's try 9. 9 x 64 = 576.

6. Multiply and subtract (again): Subtract 576 from 597: 597 - 576 = 21.

   19
   64 | 1237
   -  64
   -----
       597
     - 576
     -----
        21
   

7. The Remainder: We have a remainder of 21. This means that 64 goes into 1237 nineteen times with 21 left over.

The Answer: Quotient and Remainder

Therefore, 1237 divided by 64 is 19 with a remainder of 21. We can also express this as a mixed number: 19 21/64.

Alternative Methods: Using a Calculator

For quicker results, you can always use a calculator. Simply enter 1237 ÷ 64. The calculator will give you the decimal equivalent (approximately 19.328). This shows the whole number part (19) and the fractional part. You can convert this decimal part back to a fraction to get the remainder.

Conclusion: Mastering Long Division

By following these steps, you can confidently tackle long division problems. Remember to estimate, and don't be afraid to adjust your guesses as you go. This process works for any long division problem. Practice makes perfect! Now you know how to divide 1237 by 64 efficiently and accurately.