Long Division: 87 ÷ 7
Long Division Calculator
How to divide 87 by 7 using long division and find the remainder?
Answer
87 ÷ 7 = 12 remainder 3
87 ÷ 7 = 12 remainder 3
Visual Long Division
1
2
7
8
7
−
71
7
−
14
3
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 87 ÷ 7 using long division method step by step:
Step 1:Take the number 8 and divide by 7. We get 1 (write it in the quotient). Multiply 1 × 7 = 7 (write it below the dividend). Subtract 8 - 7 = 1. The remainder 1 is carried to the next step.
Step 2:Take the number 17 and divide by 7. We get 2 (write it in the quotient). Multiply 2 × 7 = 14 (write it below the dividend). Subtract 17 - 14 = 3. The remainder 3 is carried to the next step.
Final Step:The remainder 3 is smaller than the divisor 7, so the division is complete. The final answer is 12 with remainder 3.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 8 | 1 | 1 × 7 = 7 | 8 - 7 = 1 | 1 |
| 2 | 17 | 2 | 2 × 7 = 14 | 17 - 14 = 3 | 3 |
Final remainder: 3
Since 3 is less than 7, we cannot divide further. The final answer is 12 with remainder 3.
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.
Found an error in the calculation or the information?
Related Calculations
See Also
- Number Facts & Properties - 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
- Percentage Calculator: Fraction to Percent - What percentage one number is of another? Convert fraction into a percentage
Share This Calculation
Print
<a href="https://calculat.io/en/number/long-division/87--7">Long Division 87 ÷ 7 = 12, Remainder 3 - Calculatio</a>Facebook
Twitter
Telegram
WhatsApp
Viber
Email
Long Division Table
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 87 by 7 using long division and find the remainder? (The answer is: When dividing 87 by 7, we get quotient 12 and remainder 3. Result: 87 ÷ 7 = 12 remainder 3.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.
Long Division Calculator