Long Division: 384 ÷ 7
Long Division Calculator
How to divide 384 by 7 using long division and find the remainder?
Answer
384 ÷ 7 = 54 remainder 6
384 ÷ 7 = 54 remainder 6
Visual Long Division
0
5
4
7
3
8
4
−
35
3
4
−
28
6
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 384 ÷ 7 using long division method step by step:
Step 1:Take the number 38 and divide by 7. We get 5 (write it in the quotient). Multiply 5 × 7 = 35 (write it below the dividend). Subtract 38 - 35 = 3. The remainder 3 is carried to the next step.
Step 2:Take the number 34 and divide by 7. We get 4 (write it in the quotient). Multiply 4 × 7 = 28 (write it below the dividend). Subtract 34 - 28 = 6. The remainder 6 is carried to the next step.
Final Step:The remainder 6 is smaller than the divisor 7, so the division is complete. The final answer is 54 with remainder 6.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 38 | 5 | 5 × 7 = 35 | 38 - 35 = 3 | 3 |
| 2 | 34 | 4 | 4 × 7 = 28 | 34 - 28 = 6 | 6 |
Final remainder: 6
Since 6 is less than 7, we cannot divide further. The final answer is 54 with remainder 6.
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 divide 384 by 7 using long division and find the remainder? (The answer is: When dividing 384 by 7, we get quotient 54 and remainder 6. Result: 384 ÷ 7 = 54 remainder 6.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.
Long Division Table
FAQ
How to divide 384 by 7 using long division and find the remainder?
384 ÷ 7 = 54 remainder 6
Is 384 divisible by 7?
No, 384 is not divisible by 7. The remainder is 6.
How to check the result of 384 ÷ 7?
Multiply the quotient 54 by the divisor 7 and add the remainder 6. The result should equal 384.
See Also
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- Деление в столбик 384 ÷ 7 = 54, остаток 6
- División larga 384 ÷ 7 = 54, resto 6
- Divisão longa 384 ÷ 7 = 54, resto 6