Long Division: 125 ÷ 5
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How to perform long division of 125 by 5?
Answer
125 ÷ 5 = 25
✓ exact division
125 ÷ 5 = 25
Visual Long Division
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2
5
5
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5
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10
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25
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This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 125 ÷ 5 using long division method step by step:
Step 1:Take the number 12 and divide by 5. We get 2 (write it in the quotient). Multiply 2 × 5 = 10 (write it below the dividend). Subtract 12 - 10 = 2. The remainder 2 is carried to the next step.
Step 2:Take the number 25 and divide by 5. We get 5 (write it in the quotient). Multiply 5 × 5 = 25 (write it below the dividend). Subtract 25 - 25 = 0.
Final Step:The division is complete with no remainder. 125 divides exactly by 5 to give 25.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 12 | 2 | 2 × 5 = 10 | 12 - 10 = 2 | 2 |
| 2 | 25 | 5 | 5 × 5 = 25 | 25 - 25 = 0 | 0 |
Perfect division: 125 divides evenly by 5 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
- 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 perform long division of 125 by 5? (The answer is: The division of 125 by 5 is exact. Result: 125 ÷ 5 = 25.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.
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