Long Division: 1001 ÷ 14
"Long Division Calculator" Calculator
How to divide 1001 by 14 using long division and find the remainder?
Answer: 1001 ÷ 14 = 71 remainder 7
1001 ÷ 14 = 71 remainder 7
Visual Long Division
0
0
7
1
1
4
1
0
0
1
−
98
2
1
−
14
7
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 1001 ÷ 14 using long division method step by step:
Step 1:Take the number 100 and divide by 14. We get 7 (write it in the quotient). Multiply 7 × 14 = 98 (write it below the dividend). Subtract 100 - 98 = 2. The remainder 2 is carried to the next step.
Step 2:Take the number 21 and divide by 14. We get 1 (write it in the quotient). Multiply 1 × 14 = 14 (write it below the dividend). Subtract 21 - 14 = 7. The remainder 7 is carried to the next step.
Final Step:The remainder 7 is smaller than the divisor 14, so the division is complete. The final answer is 71 with remainder 7.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 100 | 7 | 7 × 14 = 98 | 100 - 98 = 2 | 2 |
| 2 | 21 | 1 | 1 × 14 = 14 | 21 - 14 = 7 | 7 |
Final remainder: 7
Since 7 is less than 14, we cannot divide further. The final answer is 71 with remainder 7.
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.