Long Division: 100005 ÷ 40
"Long Division Calculator" Calculator
How to divide 100005 by 40 using long division and find the remainder?
Answer: 100005 ÷ 40 = 2500 remainder 5
100005 ÷ 40 = 2500 remainder 5
Visual Long Division
0
0
2
5
0
0
4
0
1
0
0
0
0
5
−
80
2
0
0
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20
0
0
0
5
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 100005 ÷ 40 using long division method step by step:
Step 1:Take the number 100 and divide by 40. We get 2 (write it in the quotient). Multiply 2 × 40 = 80 (write it below the dividend). Subtract 100 - 80 = 20. The remainder 20 is carried to the next step.
Step 2:Take the number 200 and divide by 40. We get 5 (write it in the quotient). Multiply 5 × 40 = 200 (write it below the dividend). Subtract 200 - 200 = 0.
Step 3:Number 0 is less than divisor 40, so we write 0 in the quotient and move to the next digit.
Step 4:Number 5 is less than divisor 40, so we write 0 in the quotient and move to the next digit.
Final Step:The remainder 5 is smaller than the divisor 40, so the division is complete. The final answer is 2500 with remainder 5.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 100 | 2 | 2 × 40 = 80 | 100 - 80 = 20 | 20 |
| 2 | 200 | 5 | 5 × 40 = 200 | 200 - 200 = 0 | 0 |
| 3 | 0 | 0 | 0 × 40 = 0 | 0 - 0 = 0 | 0 |
| 4 | 5 | 0 | 0 × 40 = 0 | 5 - 0 = 5 | 5 |
Final remainder: 5
Since 5 is less than 40, we cannot divide further. The final answer is 2500 with remainder 5.
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.