Long Division: 1000 ÷ 8
Long Division Calculator
How to perform long division of 1000 by 8?
Answer
1000 ÷ 8 = 125
✓ exact division
1000 ÷ 8 = 125
Visual Long Division
0
1
2
5
8
1
0
0
0
−
82
0
−
16
4
0
−
40
0
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 1000 ÷ 8 using long division method step by step:
Step 1:Take the number 10 and divide by 8. We get 1 (write it in the quotient). Multiply 1 × 8 = 8 (write it below the dividend). Subtract 10 - 8 = 2. The remainder 2 is carried to the next step.
Step 2:Take the number 20 and divide by 8. We get 2 (write it in the quotient). Multiply 2 × 8 = 16 (write it below the dividend). Subtract 20 - 16 = 4. The remainder 4 is carried to the next step.
Step 3:Take the number 40 and divide by 8. We get 5 (write it in the quotient). Multiply 5 × 8 = 40 (write it below the dividend). Subtract 40 - 40 = 0.
Final Step:The division is complete with no remainder. 1000 divides exactly by 8 to give 125.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 10 | 1 | 1 × 8 = 8 | 10 - 8 = 2 | 2 |
| 2 | 20 | 2 | 2 × 8 = 16 | 20 - 16 = 4 | 4 |
| 3 | 40 | 5 | 5 × 8 = 40 | 40 - 40 = 0 | 0 |
Perfect division: 1000 divides evenly by 8 with no remainder.
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.
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- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
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Long Division Calculator
Long division calculator with step-by-step explanation. Enter dividend and divisor to get a detailed solution with visualization. For example, it can help you find out how to perform long division of 1000 by 8? (The answer is: The division of 1000 by 8 is exact. Result: 1000 ÷ 8 = 125.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.
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