Long Division: 1000000 ÷ 35
"Long Division Calculator" Calculator
How to divide 1000000 by 35 using long division and find the remainder?
Answer: 1000000 ÷ 35 = 28571 remainder 15
1000000 ÷ 35 = 28571 remainder 15
Visual Long Division
0
0
2
8
5
7
1
3
5
1
0
0
0
0
0
0
−
70
3
0
0
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28
0
2
0
0
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17
5
2
5
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24
5
5
0
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35
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 1000000 ÷ 35 using long division method step by step:
Step 1:Take the number 100 and divide by 35. We get 2 (write it in the quotient). Multiply 2 × 35 = 70 (write it below the dividend). Subtract 100 - 70 = 30. The remainder 30 is carried to the next step.
Step 2:Take the number 300 and divide by 35. We get 8 (write it in the quotient). Multiply 8 × 35 = 280 (write it below the dividend). Subtract 300 - 280 = 20. The remainder 20 is carried to the next step.
Step 3:Take the number 200 and divide by 35. We get 5 (write it in the quotient). Multiply 5 × 35 = 175 (write it below the dividend). Subtract 200 - 175 = 25. The remainder 25 is carried to the next step.
Step 4:Take the number 250 and divide by 35. We get 7 (write it in the quotient). Multiply 7 × 35 = 245 (write it below the dividend). Subtract 250 - 245 = 5. The remainder 5 is carried to the next step.
Step 5:Take the number 50 and divide by 35. We get 1 (write it in the quotient). Multiply 1 × 35 = 35 (write it below the dividend). Subtract 50 - 35 = 15. The remainder 15 is carried to the next step.
Final Step:The remainder 15 is smaller than the divisor 35, so the division is complete. The final answer is 28571 with remainder 15.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 100 | 2 | 2 × 35 = 70 | 100 - 70 = 30 | 30 |
| 2 | 300 | 8 | 8 × 35 = 280 | 300 - 280 = 20 | 20 |
| 3 | 200 | 5 | 5 × 35 = 175 | 200 - 175 = 25 | 25 |
| 4 | 250 | 7 | 7 × 35 = 245 | 250 - 245 = 5 | 5 |
| 5 | 50 | 1 | 1 × 35 = 35 | 50 - 35 = 15 | 15 |
Final remainder: 15
Since 15 is less than 35, we cannot divide further. The final answer is 28571 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.