Long Division: 3000 ÷ 31
"Long Division Calculator" Calculator
How to divide 3000 by 31 using long division and find the remainder?
Answer: 3000 ÷ 31 = 96 remainder 24
3000 ÷ 31 = 96 remainder 24
Visual Long Division
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0
9
6
3
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3
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27
9
2
1
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18
6
2
4
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 3000 ÷ 31 using long division method step by step:
Step 1:Take the number 300 and divide by 31. We get 9 (write it in the quotient). Multiply 9 × 31 = 279 (write it below the dividend). Subtract 300 - 279 = 21. The remainder 21 is carried to the next step.
Step 2:Take the number 210 and divide by 31. We get 6 (write it in the quotient). Multiply 6 × 31 = 186 (write it below the dividend). Subtract 210 - 186 = 24. The remainder 24 is carried to the next step.
Final Step:The remainder 24 is smaller than the divisor 31, so the division is complete. The final answer is 96 with remainder 24.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 300 | 9 | 9 × 31 = 279 | 300 - 279 = 21 | 21 |
| 2 | 210 | 6 | 6 × 31 = 186 | 210 - 186 = 24 | 24 |
Final remainder: 24
Since 24 is less than 31, we cannot divide further. The final answer is 96 with remainder 24.
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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About "Long Division Calculator" Calculator
Long division calculator with step-by-step explanation. Enter dividend (e.g. '29224' or '58.5') and divisor (e.g. '4' or '1.25') to get detailed solution with visualization.