Long Division: 1000 ÷ 17
"Long Division Calculator" Calculator
How to divide 1000 by 17 using long division and find the remainder?
Answer
1000 ÷ 17 = 58 remainder 14
1000 ÷ 17 = 58 remainder 14
Visual Long Division
0
0
5
8
1
7
1
0
0
0
−
85
1
5
0
−
13
6
1
4
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 1000 ÷ 17 using long division method step by step:
Step 1:
Take the number 100 and divide by 17. We get 5 (write it in the quotient). Multiply 5 × 17 = 85 (write it below the dividend). Subtract 100 - 85 = 15. The remainder 15 is carried to the next step.
Step 2:
Take the number 150 and divide by 17. We get 8 (write it in the quotient). Multiply 8 × 17 = 136 (write it below the dividend). Subtract 150 - 136 = 14. The remainder 14 is carried to the next step.
Final Step:
The remainder 14 is smaller than the divisor 17, so the division is complete. The final answer is 58 with remainder 14.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 100 | 5 | 5 × 17 = 85 | 100 - 85 = 15 | 15 |
| 2 | 150 | 8 | 8 × 17 = 136 | 150 - 136 = 14 | 14 |
Final remainder: 14
Since 14 is less than 17, we cannot divide further. The final answer is 58 with remainder 14.
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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See Also
- Number Facts & Properties - 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 and divisor to get a detailed solution with visualization. For example, it can help you find out how to divide 1000 by 17 using long division and find the remainder? (The answer is: When dividing 1000 by 17, we get quotient 58 and remainder 14. Result: 1000 ÷ 17 = 58 remainder 14.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.