Long Division: 68 ÷ 24
Long Division Calculator
How to divide 68 by 24 using long division and find the remainder?
Answer
68 ÷ 24 = 2 remainder 20
68 ÷ 24 = 2 remainder 20
Visual Long Division
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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 68 ÷ 24 using long division method step by step:
Step 1:Take the number 68 and divide by 24. We get 2 (write it in the quotient). Multiply 2 × 24 = 48 (write it below the dividend). Subtract 68 - 48 = 20. The remainder 20 is carried to the next step.
Final Step:The remainder 20 is smaller than the divisor 24, so the division is complete. The final answer is 2 with remainder 20.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 68 | 2 | 2 × 24 = 48 | 68 - 48 = 20 | 20 |
Final remainder: 20
Since 20 is less than 24, we cannot divide further. The final answer is 2 with remainder 20.
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 Table
| Division | Quotient | Remainder |
|---|---|---|
| 61 ÷ 24 | 2 | 13 |
| 62 ÷ 24 | 2 | 14 |
| 63 ÷ 24 | 2 | 15 |
| 64 ÷ 24 | 2 | 16 |
| 65 ÷ 24 | 2 | 17 |
| 66 ÷ 24 | 2 | 18 |
| 67 ÷ 24 | 2 | 19 |
| 68 ÷ 24 | 2 | 20 |
| 69 ÷ 24 | 2 | 21 |
| 70 ÷ 24 | 2 | 22 |
| 71 ÷ 24 | 2 | 23 |
| 72 ÷ 24 | 3 | 0 |
| 73 ÷ 24 | 3 | 1 |
| 74 ÷ 24 | 3 | 2 |
| 75 ÷ 24 | 3 | 3 |
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 68 by 24 using long division and find the remainder? (The answer is: When dividing 68 by 24, we get quotient 2 and remainder 20. Result: 68 ÷ 24 = 2 remainder 20.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.