Long Division: 9999 ÷ 250
"Long Division Calculator" Calculator
How to divide 9999 by 250 using long division and find the remainder?
Answer: 9999 ÷ 250 = 39 remainder 249
9999 ÷ 250 = 39 remainder 249
Visual Long Division
0
0
3
9
2
5
0
9
9
9
9
−
75
0
2
4
9
9
−
22
5
0
2
4
9
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 9999 ÷ 250 using long division method step by step:
Step 1:Take the number 999 and divide by 250. We get 3 (write it in the quotient). Multiply 3 × 250 = 750 (write it below the dividend). Subtract 999 - 750 = 249. The remainder 249 is carried to the next step.
Step 2:Take the number 2499 and divide by 250. We get 9 (write it in the quotient). Multiply 9 × 250 = 2250 (write it below the dividend). Subtract 2499 - 2250 = 249. The remainder 249 is carried to the next step.
Final Step:The remainder 249 is smaller than the divisor 250, so the division is complete. The final answer is 39 with remainder 249.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 999 | 3 | 3 × 250 = 750 | 999 - 750 = 249 | 249 |
| 2 | 2499 | 9 | 9 × 250 = 2250 | 2499 - 2250 = 249 | 249 |
Final remainder: 249
Since 249 is less than 250, we cannot divide further. The final answer is 39 with remainder 249.
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
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.
"Long Division Calculator" Calculator
FAQ
How to divide 9999 by 250 using long division and find the remainder?
9999 ÷ 250 = 39 remainder 249
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