Long Division: 987 ÷ 13
"Long Division Calculator" Calculator
How to divide 987 by 13 using long division and find the remainder?
Answer: 987 ÷ 13 = 75 remainder 12
987 ÷ 13 = 75 remainder 12
Visual Long Division
0
7
5
1
3
9
8
7
−
91
7
7
−
65
1
2
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 987 ÷ 13 using long division method step by step:
Step 1:Take the number 98 and divide by 13. We get 7 (write it in the quotient). Multiply 7 × 13 = 91 (write it below the dividend). Subtract 98 - 91 = 7. The remainder 7 is carried to the next step.
Step 2:Take the number 77 and divide by 13. We get 5 (write it in the quotient). Multiply 5 × 13 = 65 (write it below the dividend). Subtract 77 - 65 = 12. The remainder 12 is carried to the next step.
Final Step:The remainder 12 is smaller than the divisor 13, so the division is complete. The final answer is 75 with remainder 12.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 98 | 7 | 7 × 13 = 91 | 98 - 91 = 7 | 7 |
| 2 | 77 | 5 | 5 × 13 = 65 | 77 - 65 = 12 | 12 |
Final remainder: 12
Since 12 is less than 13, we cannot divide further. The final answer is 75 with remainder 12.
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.