Long Division: 138 ÷ 16
Long Division Calculator
How to divide 138 by 16 using long division and find the remainder?
Answer
138 ÷ 16 = 8 remainder 10
138 ÷ 16 = 8 remainder 10
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 138 ÷ 16 using long division method step by step:
Step 1:Take the number 138 and divide by 16. We get 8 (write it in the quotient). Multiply 8 × 16 = 128 (write it below the dividend). Subtract 138 - 128 = 10. The remainder 10 is carried to the next step.
Final Step:The remainder 10 is smaller than the divisor 16, so the division is complete. The final answer is 8 with remainder 10.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 138 | 8 | 8 × 16 = 128 | 138 - 128 = 10 | 10 |
Final remainder: 10
Since 10 is less than 16, we cannot divide further. The final answer is 8 with remainder 10.
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 divide 138 by 16 using long division and find the remainder? (The answer is: When dividing 138 by 16, we get quotient 8 and remainder 10. Result: 138 ÷ 16 = 8 remainder 10.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.
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