Long Division: 100005 ÷ 7
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How to divide 100005 by 7 using long division and find the remainder?
Answer: 100005 ÷ 7 = 14286 remainder 3
100005 ÷ 7 = 14286 remainder 3
Visual Long Division
0
1
4
2
8
6
7
1
0
0
0
0
5
−
73
0
−
28
2
0
−
14
6
0
−
56
4
5
−
42
3
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 100005 ÷ 7 using long division method step by step:
Step 1:Take the number 10 and divide by 7. We get 1 (write it in the quotient). Multiply 1 × 7 = 7 (write it below the dividend). Subtract 10 - 7 = 3. The remainder 3 is carried to the next step.
Step 2:Take the number 30 and divide by 7. We get 4 (write it in the quotient). Multiply 4 × 7 = 28 (write it below the dividend). Subtract 30 - 28 = 2. The remainder 2 is carried to the next step.
Step 3:Take the number 20 and divide by 7. We get 2 (write it in the quotient). Multiply 2 × 7 = 14 (write it below the dividend). Subtract 20 - 14 = 6. The remainder 6 is carried to the next step.
Step 4:Take the number 60 and divide by 7. We get 8 (write it in the quotient). Multiply 8 × 7 = 56 (write it below the dividend). Subtract 60 - 56 = 4. The remainder 4 is carried to the next step.
Step 5:Take the number 45 and divide by 7. We get 6 (write it in the quotient). Multiply 6 × 7 = 42 (write it below the dividend). Subtract 45 - 42 = 3. The remainder 3 is carried to the next step.
Final Step:The remainder 3 is smaller than the divisor 7, so the division is complete. The final answer is 14286 with remainder 3.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 10 | 1 | 1 × 7 = 7 | 10 - 7 = 3 | 3 |
| 2 | 30 | 4 | 4 × 7 = 28 | 30 - 28 = 2 | 2 |
| 3 | 20 | 2 | 2 × 7 = 14 | 20 - 14 = 6 | 6 |
| 4 | 60 | 8 | 8 × 7 = 56 | 60 - 56 = 4 | 4 |
| 5 | 45 | 6 | 6 × 7 = 42 | 45 - 42 = 3 | 3 |
Final remainder: 3
Since 3 is less than 7, we cannot divide further. The final answer is 14286 with remainder 3.
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.