Long Division: 318 ÷ 3
Long Division Calculator
How to perform long division of 318 by 3?
Answer
318 ÷ 3 = 106
✓ exact division
318 ÷ 3 = 106
Visual Long Division
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6
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3
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8
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30
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18
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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 318 ÷ 3 using long division method step by step:
Step 1:Take the number 3 and divide by 3. We get 1 (write it in the quotient). Multiply 1 × 3 = 3 (write it below the dividend). Subtract 3 - 3 = 0.
Step 2:Number 1 is less than divisor 3, so we write 0 in the quotient and move to the next digit.
Step 3:Take the number 18 and divide by 3. We get 6 (write it in the quotient). Multiply 6 × 3 = 18 (write it below the dividend). Subtract 18 - 18 = 0.
Final Step:The division is complete with no remainder. 318 divides exactly by 3 to give 106.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 3 | 1 | 1 × 3 = 3 | 3 - 3 = 0 | 0 |
| 2 | 1 | 0 | 0 × 3 = 0 | 1 - 0 = 1 | 1 |
| 3 | 18 | 6 | 6 × 3 = 18 | 18 - 18 = 0 | 0 |
Perfect division: 318 divides evenly by 3 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.
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Long Division Calculator
Long division calculator with step-by-step explanation. Enter dividend and divisor to get a detailed solution with visualization. For example, it can help you find out how to perform long division of 318 by 3? (The answer is: The division of 318 by 3 is exact. Result: 318 ÷ 3 = 106.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.
Long Division Table
FAQ
How to perform long division of 318 by 3?
318 ÷ 3 = 106
Is 318 divisible by 3?
Yes, 318 is divisible by 3. The result is 106.
How to check the result of 318 ÷ 3?
Multiply the quotient 106 by the divisor 3. The result should equal 318.
See Also
- Long Division 301 ÷ 100 = 3, Remainder 1
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- Long Division 303 ÷ 100 = 3, Remainder 3
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- Деление в столбик 318 ÷ 3 = 106 с решением
- División larga 318 ÷ 3 = 106 - paso a paso
- Divisão longa 318 ÷ 3 = 106 - passo a passo