Long Division: 345 ÷ 5
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How to perform long division of 345 by 5?
Answer
345 ÷ 5 = 69
✓ exact division
345 ÷ 5 = 69
Visual Long Division
0
6
9
5
3
4
5
−
30
4
5
−
45
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 345 ÷ 5 using long division method step by step:
Step 1:Take the number 34 and divide by 5. We get 6 (write it in the quotient). Multiply 6 × 5 = 30 (write it below the dividend). Subtract 34 - 30 = 4. The remainder 4 is carried to the next step.
Step 2:Take the number 45 and divide by 5. We get 9 (write it in the quotient). Multiply 9 × 5 = 45 (write it below the dividend). Subtract 45 - 45 = 0.
Final Step:The division is complete with no remainder. 345 divides exactly by 5 to give 69.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 34 | 6 | 6 × 5 = 30 | 34 - 30 = 4 | 4 |
| 2 | 45 | 9 | 9 × 5 = 45 | 45 - 45 = 0 | 0 |
Perfect division: 345 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 345 by 5? (The answer is: The division of 345 by 5 is exact. Result: 345 ÷ 5 = 69.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.
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