Long Division: 71 ÷ 7
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How to divide 71 by 7 using long division and find the remainder?
Answer
71 ÷ 7 = 10 remainder 1
71 ÷ 7 = 10 remainder 1
Visual Long Division
1
0
7
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70
1
1
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 71 ÷ 7 using long division method step by step:
Step 1:Take the number 7 and divide by 7. We get 1 (write it in the quotient). Multiply 1 × 7 = 7 (write it below the dividend). Subtract 7 - 7 = 0.
Step 2:Number 1 is less than divisor 7, so we write 0 in the quotient and move to the next digit.
Final Step:The remainder 1 is smaller than the divisor 7, so the division is complete. The final answer is 10 with remainder 1.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 7 | 1 | 1 × 7 = 7 | 7 - 7 = 0 | 0 |
| 2 | 1 | 0 | 0 × 7 = 0 | 1 - 0 = 1 | 1 |
Final remainder: 1
Since 1 is less than 7, we cannot divide further. The final answer is 10 with remainder 1.
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
- Percentage Calculator: Fraction to Percent - What percentage one number is of another? Convert fraction into a percentage
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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 71 by 7 using long division and find the remainder? (The answer is: When dividing 71 by 7, we get quotient 10 and remainder 1. Result: 71 ÷ 7 = 10 remainder 1.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.
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