What is 100 divided by 8 using long division?
The Correct Answer and Explanation is :
To divide 100 by 8 using long division, we can follow these steps:
Step-by-Step Long Division
- Set up the division: Write 100 as the dividend (inside the long division symbol) and 8 as the divisor (outside the symbol).
8 | 100- Divide the first digit (1): Start by dividing the first digit of the dividend (1) by 8. Since 8 doesn’t go into 1, we move to the next digit, making it 10.
- Divide 10 by 8: Now divide 10 by 8. 8 fits into 10 once (1). Write 1 above the line.
12
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8 | 100- Multiply and subtract: Multiply the 1 (quotient) by 8, which gives 8. Subtract 8 from 10, leaving a remainder of 2.
1
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8 | 100
-8
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2- Bring down the next digit (0): Bring down the next digit of the dividend, which is 0. Now you have 20.
- Divide 20 by 8: 8 fits into 20 twice (2). Write 2 above the line next to the 1.
12
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8 | 100
-8
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20
-16
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4- Multiply and subtract: Multiply 2 by 8, which gives 16. Subtract 16 from 20, leaving a remainder of 4.
- Conclusion: Since there are no more digits to bring down, the division is complete. The quotient is 12 with a remainder of 4. In decimal form, this can be written as 12.5 because 4/8 equals 0.5.
Final Answer:
100 ÷ 8 = 12 with a remainder of 4, or 12.5 in decimal.
Explanation:
Long division is a methodical process that breaks down a division problem step by step. By dividing, multiplying, subtracting, and bringing down digits one at a time, we calculate the quotient and any remainders.