Long Division: 168 ÷ 6
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How to perform long division of 168 by 6?
Answer
168 ÷ 6 = 28
✓ exact division
168 ÷ 6 = 28
Visual Long Division
0
2
8
6
1
6
8
−
12
4
8
−
48
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 168 ÷ 6 using long division method step by step:
Step 1:Take the number 16 and divide by 6. We get 2 (write it in the quotient). Multiply 2 × 6 = 12 (write it below the dividend). Subtract 16 - 12 = 4. The remainder 4 is carried to the next step.
Step 2:Take the number 48 and divide by 6. We get 8 (write it in the quotient). Multiply 8 × 6 = 48 (write it below the dividend). Subtract 48 - 48 = 0.
Final Step:The division is complete with no remainder. 168 divides exactly by 6 to give 28.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 16 | 2 | 2 × 6 = 12 | 16 - 12 = 4 | 4 |
| 2 | 48 | 8 | 8 × 6 = 48 | 48 - 48 = 0 | 0 |
Perfect division: 168 divides evenly by 6 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 168 by 6? (The answer is: The division of 168 by 6 is exact. Result: 168 ÷ 6 = 28.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.
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