Long Division: 30.58 ÷ 5.2
How to divide 30.58 by 5.2 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 30.58 ÷ 5.2 using long division method step by step:
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 3058 | 5 | 5 × 520 = 2600 | 3058 - 2600 = 458 | 458 |
Final remainder: 458
Since 458 is less than 520, we cannot divide further. The final answer is 5 with remainder 458.
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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