Long Division: 9999974 ÷ 75
"Long Division Calculator" Calculator
How to divide 9999974 by 75 using long division and find the remainder?
Answer: 9999974 ÷ 75 = 133332 remainder 74
9999974 ÷ 75 = 133332 remainder 74
Visual Long Division
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75
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22
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15
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This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 9999974 ÷ 75 using long division method step by step:
Step 1:Take the number 99 and divide by 75. We get 1 (write it in the quotient). Multiply 1 × 75 = 75 (write it below the dividend). Subtract 99 - 75 = 24. The remainder 24 is carried to the next step.
Step 2:Take the number 249 and divide by 75. We get 3 (write it in the quotient). Multiply 3 × 75 = 225 (write it below the dividend). Subtract 249 - 225 = 24. The remainder 24 is carried to the next step.
Step 3:Take the number 249 and divide by 75. We get 3 (write it in the quotient). Multiply 3 × 75 = 225 (write it below the dividend). Subtract 249 - 225 = 24. The remainder 24 is carried to the next step.
Step 4:Take the number 249 and divide by 75. We get 3 (write it in the quotient). Multiply 3 × 75 = 225 (write it below the dividend). Subtract 249 - 225 = 24. The remainder 24 is carried to the next step.
Step 5:Take the number 247 and divide by 75. We get 3 (write it in the quotient). Multiply 3 × 75 = 225 (write it below the dividend). Subtract 247 - 225 = 22. The remainder 22 is carried to the next step.
Step 6:Take the number 224 and divide by 75. We get 2 (write it in the quotient). Multiply 2 × 75 = 150 (write it below the dividend). Subtract 224 - 150 = 74. The remainder 74 is carried to the next step.
Final Step:The remainder 74 is smaller than the divisor 75, so the division is complete. The final answer is 133332 with remainder 74.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 99 | 1 | 1 × 75 = 75 | 99 - 75 = 24 | 24 |
| 2 | 249 | 3 | 3 × 75 = 225 | 249 - 225 = 24 | 24 |
| 3 | 249 | 3 | 3 × 75 = 225 | 249 - 225 = 24 | 24 |
| 4 | 249 | 3 | 3 × 75 = 225 | 249 - 225 = 24 | 24 |
| 5 | 247 | 3 | 3 × 75 = 225 | 247 - 225 = 22 | 22 |
| 6 | 224 | 2 | 2 × 75 = 150 | 224 - 150 = 74 | 74 |
Final remainder: 74
Since 74 is less than 75, we cannot divide further. The final answer is 133332 with remainder 74.
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.