Long Division: 25500 ÷ 1500
"Long Division Calculator" Calculator
How to perform long division of 25500 by 1500?
Answer: 25500 ÷ 1500 = 17✓ exact division
25500 ÷ 1500 = 17
Visual Long Division
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1
7
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5
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15
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10
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This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 25500 ÷ 1500 using long division method step by step:
Step 1:Take the number 2550 and divide by 1500. We get 1 (write it in the quotient). Multiply 1 × 1500 = 1500 (write it below the dividend). Subtract 2550 - 1500 = 1050. The remainder 1050 is carried to the next step.
Step 2:Take the number 10500 and divide by 1500. We get 7 (write it in the quotient). Multiply 7 × 1500 = 10500 (write it below the dividend). Subtract 10500 - 10500 = 0.
Final Step:The division is complete with no remainder. 25500 divides exactly by 1500 to give 17.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 2550 | 1 | 1 × 1500 = 1500 | 2550 - 1500 = 1050 | 1050 |
| 2 | 10500 | 7 | 7 × 1500 = 10500 | 10500 - 10500 = 0 | 0 |
Perfect division: 25500 divides evenly by 1500 with no remainder.
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.