Long Division: 3200 ÷ 200
"Long Division Calculator" Calculator
How to perform long division of 3200 by 200?
Answer: 3200 ÷ 200 = 16✓ exact division
3200 ÷ 200 = 16
Visual Long Division
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20
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12
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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 3200 ÷ 200 using long division method step by step:
Step 1:Take the number 320 and divide by 200. We get 1 (write it in the quotient). Multiply 1 × 200 = 200 (write it below the dividend). Subtract 320 - 200 = 120. The remainder 120 is carried to the next step.
Step 2:Take the number 1200 and divide by 200. We get 6 (write it in the quotient). Multiply 6 × 200 = 1200 (write it below the dividend). Subtract 1200 - 1200 = 0.
Final Step:The division is complete with no remainder. 3200 divides exactly by 200 to give 16.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 320 | 1 | 1 × 200 = 200 | 320 - 200 = 120 | 120 |
| 2 | 1200 | 6 | 6 × 200 = 1200 | 1200 - 1200 = 0 | 0 |
Perfect division: 3200 divides evenly by 200 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.