Long Division: 9997999 ÷ 2000
"Long Division Calculator" Calculator
How to divide 9997999 by 2000 using long division and find the remainder?
Answer: 9997999 ÷ 2000 = 4998 remainder 1999
9997999 ÷ 2000 = 4998 remainder 1999
Visual Long Division
0
0
0
4
9
9
8
2
0
0
0
9
9
9
7
9
9
9
−
80
0
0
1
9
9
7
9
−
18
0
0
0
1
9
7
9
9
−
18
0
0
0
1
7
9
9
9
−
16
0
0
0
1
9
9
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 9997999 ÷ 2000 using long division method step by step:
Step 1:Take the number 9997 and divide by 2000. We get 4 (write it in the quotient). Multiply 4 × 2000 = 8000 (write it below the dividend). Subtract 9997 - 8000 = 1997. The remainder 1997 is carried to the next step.
Step 2:Take the number 19979 and divide by 2000. We get 9 (write it in the quotient). Multiply 9 × 2000 = 18000 (write it below the dividend). Subtract 19979 - 18000 = 1979. The remainder 1979 is carried to the next step.
Step 3:Take the number 19799 and divide by 2000. We get 9 (write it in the quotient). Multiply 9 × 2000 = 18000 (write it below the dividend). Subtract 19799 - 18000 = 1799. The remainder 1799 is carried to the next step.
Step 4:Take the number 17999 and divide by 2000. We get 8 (write it in the quotient). Multiply 8 × 2000 = 16000 (write it below the dividend). Subtract 17999 - 16000 = 1999. The remainder 1999 is carried to the next step.
Final Step:The remainder 1999 is smaller than the divisor 2000, so the division is complete. The final answer is 4998 with remainder 1999.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 9997 | 4 | 4 × 2000 = 8000 | 9997 - 8000 = 1997 | 1997 |
| 2 | 19979 | 9 | 9 × 2000 = 18000 | 19979 - 18000 = 1979 | 1979 |
| 3 | 19799 | 9 | 9 × 2000 = 18000 | 19799 - 18000 = 1799 | 1799 |
| 4 | 17999 | 8 | 8 × 2000 = 16000 | 17999 - 16000 = 1999 | 1999 |
Final remainder: 1999
Since 1999 is less than 2000, we cannot divide further. The final answer is 4998 with remainder 1999.
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
Share This Calculation
Print
<a href="https://calculat.io/en/number/long-division/9997999--2000">Long Division 9997999 ÷ 2000 with remainder - online calculator - Calculatio</a>
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.