Long Division: 392 ÷ 8
Long Division Calculator
How to perform long division of 392 by 8?
Answer
392 ÷ 8 = 49
✓ exact division
392 ÷ 8 = 49
Visual Long Division
0
4
9
8
3
9
2
−
32
7
2
−
72
0
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 392 ÷ 8 using long division method step by step:
Step 1:Take the number 39 and divide by 8. We get 4 (write it in the quotient). Multiply 4 × 8 = 32 (write it below the dividend). Subtract 39 - 32 = 7. The remainder 7 is carried to the next step.
Step 2:Take the number 72 and divide by 8. We get 9 (write it in the quotient). Multiply 9 × 8 = 72 (write it below the dividend). Subtract 72 - 72 = 0.
Final Step:The division is complete with no remainder. 392 divides exactly by 8 to give 49.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 39 | 4 | 4 × 8 = 32 | 39 - 32 = 7 | 7 |
| 2 | 72 | 9 | 9 × 8 = 72 | 72 - 72 = 0 | 0 |
Perfect division: 392 divides evenly by 8 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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- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
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Long Division Table
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 392 by 8? (The answer is: The division of 392 by 8 is exact. Result: 392 ÷ 8 = 49.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.