Long Division: 26 ÷ 9
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How to divide 26 by 9 using long division and find the remainder?
Answer: 26 ÷ 9 = 2 remainder 8
26 ÷ 9 = 2 remainder 8
Visual Long Division
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2
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18
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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 26 ÷ 9 using long division method step by step:
Step 1:Take the number 26 and divide by 9. We get 2 (write it in the quotient). Multiply 2 × 9 = 18 (write it below the dividend). Subtract 26 - 18 = 8. The remainder 8 is carried to the next step.
Final Step:The remainder 8 is smaller than the divisor 9, so the division is complete. The final answer is 2 with remainder 8.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 26 | 2 | 2 × 9 = 18 | 26 - 18 = 8 | 8 |
Final remainder: 8
Since 8 is less than 9, we cannot divide further. The final answer is 2 with remainder 8.
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.
See Also
- About a number - All information about a specific number (spelling, factors, prime check, binary, hexadecimal, QR Code, Barcode and more)
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
- Fraction to Percent - What percentage one number is of another? Convert fraction into a percentage
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About "Long Division Calculator" Calculator
Long division calculator with step-by-step explanation. Enter dividend (e.g. '29224' or '58.5') and divisor (e.g. '4' or '1.25') to get detailed solution with visualization.