Long Division: 549999 ÷ 17
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How to divide 549999 by 17 using long division and find the remainder?
Answer: 549999 ÷ 17 = 32352 remainder 15
549999 ÷ 17 = 32352 remainder 15
Visual Long Division
0
3
2
3
5
2
1
7
5
4
9
9
9
9
−
51
3
9
−
34
5
9
−
51
8
9
−
85
4
9
−
34
1
5
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 549999 ÷ 17 using long division method step by step:
Step 1:Take the number 54 and divide by 17. We get 3 (write it in the quotient). Multiply 3 × 17 = 51 (write it below the dividend). Subtract 54 - 51 = 3. The remainder 3 is carried to the next step.
Step 2:Take the number 39 and divide by 17. We get 2 (write it in the quotient). Multiply 2 × 17 = 34 (write it below the dividend). Subtract 39 - 34 = 5. The remainder 5 is carried to the next step.
Step 3:Take the number 59 and divide by 17. We get 3 (write it in the quotient). Multiply 3 × 17 = 51 (write it below the dividend). Subtract 59 - 51 = 8. The remainder 8 is carried to the next step.
Step 4:Take the number 89 and divide by 17. We get 5 (write it in the quotient). Multiply 5 × 17 = 85 (write it below the dividend). Subtract 89 - 85 = 4. The remainder 4 is carried to the next step.
Step 5:Take the number 49 and divide by 17. We get 2 (write it in the quotient). Multiply 2 × 17 = 34 (write it below the dividend). Subtract 49 - 34 = 15. The remainder 15 is carried to the next step.
Final Step:The remainder 15 is smaller than the divisor 17, so the division is complete. The final answer is 32352 with remainder 15.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 54 | 3 | 3 × 17 = 51 | 54 - 51 = 3 | 3 |
| 2 | 39 | 2 | 2 × 17 = 34 | 39 - 34 = 5 | 5 |
| 3 | 59 | 3 | 3 × 17 = 51 | 59 - 51 = 8 | 8 |
| 4 | 89 | 5 | 5 × 17 = 85 | 89 - 85 = 4 | 4 |
| 5 | 49 | 2 | 2 × 17 = 34 | 49 - 34 = 15 | 15 |
Final remainder: 15
Since 15 is less than 17, we cannot divide further. The final answer is 32352 with remainder 15.
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.