How to solve 18 divided by 3 in long division method?
The Correct Answer and Explanation is :
To solve 18 divided by 3 using the long division method, follow these steps:
Step-by-Step Long Division
- Set Up the Problem: Write 18 under the long division symbol (the “division bar”) and 3 outside it. This represents the problem (18 \div 3).
_______
3 | 18
- Determine How Many Times 3 Fits into 18: Look at how many times 3 can fit into the first digit (1) of 18. Since 3 cannot fit into 1, you consider the whole number 18. Determine how many times 3 fits into 18.
- Calculate:
- 3 fits into 18 exactly 6 times because (3 \times 6 = 18).
- Write 6 above the division bar, aligned with the last digit of 18.
6
_______
3 | 18
- Multiply and Subtract: Multiply the 6 (the result from the previous step) by 3 (the divisor). Write this product (18) underneath the 18, and then subtract it from 18.
6
_______
3 | 18
- 18
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0
- The result of (18 – 18) is 0.
- Conclusion: Since there are no more digits to bring down, the division process is complete. The final answer is 6, which indicates that 18 divided by 3 equals 6.
Summary of Long Division
Long division is a systematic method for dividing larger numbers. In this example, we divided 18 by 3. We established how many times 3 fits into 18, performed the multiplication, and subtracted to find the remainder. This process can be applied to larger numbers as well, breaking them down into manageable parts. The long division method is especially useful for teaching division concepts, as it visually represents the relationship between numbers, making it easier for learners to understand the process of division. Overall, the answer to (18 \div 3) is 6.