Long Division: 1000 ÷ 80
Long Division Calculator
How to divide 1000 by 80 using long division and find the remainder?
Answer
1000 ÷ 80 = 12 remainder 40
1000 ÷ 80 = 12 remainder 40
Visual Long Division
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0
1
2
8
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1
0
0
0
−
80
2
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16
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4
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 ÷ 80 using long division method step by step:
Step 1:Take the number 100 and divide by 80. We get 1 (write it in the quotient). Multiply 1 × 80 = 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 80. We get 2 (write it in the quotient). Multiply 2 × 80 = 160 (write it below the dividend). Subtract 200 - 160 = 40. The remainder 40 is carried to the next step.
Final Step:The remainder 40 is smaller than the divisor 80, so the division is complete. The final answer is 12 with remainder 40.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 100 | 1 | 1 × 80 = 80 | 100 - 80 = 20 | 20 |
| 2 | 200 | 2 | 2 × 80 = 160 | 200 - 160 = 40 | 40 |
Final remainder: 40
Since 40 is less than 80, we cannot divide further. The final answer is 12 with remainder 40.
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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- 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
- Percentage Calculator: Fraction to Percent - What percentage one number is of another? Convert fraction into a percentage
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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 divide 1000 by 80 using long division and find the remainder? (The answer is: When dividing 1000 by 80, we get quotient 12 and remainder 40. Result: 1000 ÷ 80 = 12 remainder 40.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.
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