Long Division: 9999998 ÷ 2000
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How to divide 9999998 by 2000 using long division and find the remainder?
Answer: 9999998 ÷ 2000 = 4999 remainder 1998
9999998 ÷ 2000 = 4999 remainder 1998
Visual Long Division
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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 9999998 ÷ 2000 using long division method step by step:
Step 1:Take the number 9999 and divide by 2000. We get 4 (write it in the quotient). Multiply 4 × 2000 = 8000 (write it below the dividend). Subtract 9999 - 8000 = 1999. The remainder 1999 is carried to the next step.
Step 2:Take the number 19999 and divide by 2000. We get 9 (write it in the quotient). Multiply 9 × 2000 = 18000 (write it below the dividend). Subtract 19999 - 18000 = 1999. The remainder 1999 is carried to the next step.
Step 3:Take the number 19999 and divide by 2000. We get 9 (write it in the quotient). Multiply 9 × 2000 = 18000 (write it below the dividend). Subtract 19999 - 18000 = 1999. The remainder 1999 is carried to the next step.
Step 4:Take the number 19998 and divide by 2000. We get 9 (write it in the quotient). Multiply 9 × 2000 = 18000 (write it below the dividend). Subtract 19998 - 18000 = 1998. The remainder 1998 is carried to the next step.
Final Step:The remainder 1998 is smaller than the divisor 2000, so the division is complete. The final answer is 4999 with remainder 1998.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 9999 | 4 | 4 × 2000 = 8000 | 9999 - 8000 = 1999 | 1999 |
| 2 | 19999 | 9 | 9 × 2000 = 18000 | 19999 - 18000 = 1999 | 1999 |
| 3 | 19999 | 9 | 9 × 2000 = 18000 | 19999 - 18000 = 1999 | 1999 |
| 4 | 19998 | 9 | 9 × 2000 = 18000 | 19998 - 18000 = 1998 | 1998 |
Final remainder: 1998
Since 1998 is less than 2000, we cannot divide further. The final answer is 4999 with remainder 1998.
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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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.