Long Division: 9998 ÷ 700
"Long Division Calculator" Calculator
How to divide 9998 by 700 using long division and find the remainder?
Answer: 9998 ÷ 700 = 14 remainder 198
9998 ÷ 700 = 14 remainder 198
Visual Long Division
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4
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70
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28
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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 9998 ÷ 700 using long division method step by step:
Step 1:Take the number 999 and divide by 700. We get 1 (write it in the quotient). Multiply 1 × 700 = 700 (write it below the dividend). Subtract 999 - 700 = 299. The remainder 299 is carried to the next step.
Step 2:Take the number 2998 and divide by 700. We get 4 (write it in the quotient). Multiply 4 × 700 = 2800 (write it below the dividend). Subtract 2998 - 2800 = 198. The remainder 198 is carried to the next step.
Final Step:The remainder 198 is smaller than the divisor 700, so the division is complete. The final answer is 14 with remainder 198.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 999 | 1 | 1 × 700 = 700 | 999 - 700 = 299 | 299 |
| 2 | 2998 | 4 | 4 × 700 = 2800 | 2998 - 2800 = 198 | 198 |
Final remainder: 198
Since 198 is less than 700, we cannot divide further. The final answer is 14 with remainder 198.
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.