Long Division: 998999 ÷ 1500
"Long Division Calculator" Calculator
How to divide 998999 by 1500 using long division and find the remainder?
Answer: 998999 ÷ 1500 = 665 remainder 1499
998999 ÷ 1500 = 665 remainder 1499
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 998999 ÷ 1500 using long division method step by step:
Step 1:Take the number 9989 and divide by 1500. We get 6 (write it in the quotient). Multiply 6 × 1500 = 9000 (write it below the dividend). Subtract 9989 - 9000 = 989. The remainder 989 is carried to the next step.
Step 2:Take the number 9899 and divide by 1500. We get 6 (write it in the quotient). Multiply 6 × 1500 = 9000 (write it below the dividend). Subtract 9899 - 9000 = 899. The remainder 899 is carried to the next step.
Step 3:Take the number 8999 and divide by 1500. We get 5 (write it in the quotient). Multiply 5 × 1500 = 7500 (write it below the dividend). Subtract 8999 - 7500 = 1499. The remainder 1499 is carried to the next step.
Final Step:The remainder 1499 is smaller than the divisor 1500, so the division is complete. The final answer is 665 with remainder 1499.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 9989 | 6 | 6 × 1500 = 9000 | 9989 - 9000 = 989 | 989 |
| 2 | 9899 | 6 | 6 × 1500 = 9000 | 9899 - 9000 = 899 | 899 |
| 3 | 8999 | 5 | 5 × 1500 = 7500 | 8999 - 7500 = 1499 | 1499 |
Final remainder: 1499
Since 1499 is less than 1500, we cannot divide further. The final answer is 665 with remainder 1499.
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.