Long Division: 500.01 ÷ 8
How to divide 500.01 by 8 using long division and find the remainder?
Converting Decimals to Integers
First, we convert the numbers to integers by multiplying both dividend and divisor by 100:
Now we can perform long division with these whole numbers:
Visual Long Division
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 500.01 ÷ 8 using long division method step by step:
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 5000 | 6 | 6 × 800 = 4800 | 5000 - 4800 = 200 | 200 |
| 2 | 2001 | 2 | 2 × 800 = 1600 | 2001 - 1600 = 401 | 401 |
Final remainder: 401
Since 401 is less than 800, we cannot divide further. The final answer is 62 with remainder 401.
About Long Division
Long division is a method for dividing large numbers that breaks down the division process into smaller, manageable steps. It's taught in elementary school as a systematic way to perform division by hand.
The process involves:
- Dividing the leftmost digits of the dividend by the divisor
- Writing the quotient digit above the dividend
- Multiplying the quotient digit by the divisor
- Subtracting this product from the current dividend portion
- Bringing down the next digit and repeating the process
This method ensures accuracy and helps students understand the relationship between multiplication and division.
See Also
- About a number - All information about a specific number (spelling, factors, prime check, binary, hexadecimal, QR Code, Barcode and more)
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
- Fraction to Percent - What percentage one number is of another? Convert fraction into a percentage
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