756 divided by 3

Daniel Parker

2 min read

·

24-02-2025

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Introduction:

Learning long division can be daunting, but with a clear, step-by-step approach, even complex problems like 756 divided by 3 become manageable. This article will guide you through the process, explaining each step to help you understand how to solve this specific problem and apply the method to other division problems. We'll break down 756 divided by 3, showing you how to get the accurate answer.

Understanding Long Division

Long division is a method used to solve division problems that involve larger numbers. It involves a systematic approach of dividing, multiplying, subtracting, and bringing down digits until you reach a final answer (quotient) and any remainder.

Step-by-Step Solution: 756 ÷ 3

Let's break down the process of dividing 756 by 3:

1. Set up the Problem:

Write the problem in the standard long division format:

     ____
3 | 756

2. Divide the Hundreds Digit:

• How many times does 3 go into 7? It goes in 2 times (2 x 3 = 6).
• Write the 2 above the 7 in the quotient.

    2
3 | 756

3. Multiply and Subtract:

• Multiply the quotient digit (2) by the divisor (3): 2 x 3 = 6
• Subtract this result from the dividend (7): 7 - 6 = 1
• Bring down the next digit (5) from the dividend.

    2
3 | 756
   -6
    15

4. Divide the Tens Digit:

• How many times does 3 go into 15? It goes in 5 times (5 x 3 = 15).
• Write the 5 above the 5 in the quotient.

    25
3 | 756
   -6
    15

5. Multiply and Subtract Again:

• Multiply the quotient digit (5) by the divisor (3): 5 x 3 = 15
• Subtract this result from the previous result (15): 15 - 15 = 0
• Bring down the next digit (6) from the dividend.

    25
3 | 756
   -6
    15
   -15
     06

6. Divide the Units Digit:

• How many times does 3 go into 6? It goes in 2 times (2 x 3 = 6).
• Write the 2 above the 6 in the quotient.

    252
3 | 756
   -6
    15
   -15
     06
    -06
      0

7. The Final Answer:

Since the remainder is 0, the answer to 756 divided by 3 is 252.

Practice Makes Perfect

The best way to master long division is through consistent practice. Try working through some similar problems to solidify your understanding. Remember to break down the problem step-by-step, focusing on one digit at a time. This methodical approach will build your confidence and accuracy in solving division problems.

Conclusion

Dividing 756 by 3 results in a quotient of 252 with no remainder. Using the steps outlined above, you can confidently tackle similar long division problems. Remember the key steps: divide, multiply, subtract, and bring down. With practice, long division will become a much easier and more intuitive process.