Long Division: 486 ÷ 31
Long Division Calculator
How to divide 486 by 31 using long division and find the remainder?
Answer
486 ÷ 31 = 15 remainder 21
486 ÷ 31 = 15 remainder 21
Visual Long Division
0
1
5
3
1
4
8
6
−
31
1
7
6
−
15
5
2
1
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 486 ÷ 31 using long division method step by step:
Step 1:Take the number 48 and divide by 31. We get 1 (write it in the quotient). Multiply 1 × 31 = 31 (write it below the dividend). Subtract 48 - 31 = 17. The remainder 17 is carried to the next step.
Step 2:Take the number 176 and divide by 31. We get 5 (write it in the quotient). Multiply 5 × 31 = 155 (write it below the dividend). Subtract 176 - 155 = 21. The remainder 21 is carried to the next step.
Final Step:The remainder 21 is smaller than the divisor 31, so the division is complete. The final answer is 15 with remainder 21.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 48 | 1 | 1 × 31 = 31 | 48 - 31 = 17 | 17 |
| 2 | 176 | 5 | 5 × 31 = 155 | 176 - 155 = 21 | 21 |
Final remainder: 21
Since 21 is less than 31, we cannot divide further. The final answer is 15 with remainder 21.
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 |
|---|---|---|
| 479 ÷ 31 | 15 | 14 |
| 480 ÷ 31 | 15 | 15 |
| 481 ÷ 31 | 15 | 16 |
| 482 ÷ 31 | 15 | 17 |
| 483 ÷ 31 | 15 | 18 |
| 484 ÷ 31 | 15 | 19 |
| 485 ÷ 31 | 15 | 20 |
| 486 ÷ 31 | 15 | 21 |
| 487 ÷ 31 | 15 | 22 |
| 488 ÷ 31 | 15 | 23 |
| 489 ÷ 31 | 15 | 24 |
| 490 ÷ 31 | 15 | 25 |
| 491 ÷ 31 | 15 | 26 |
| 492 ÷ 31 | 15 | 27 |
| 493 ÷ 31 | 15 | 28 |
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 486 by 31 using long division and find the remainder? (The answer is: When dividing 486 by 31, we get quotient 15 and remainder 21. Result: 486 ÷ 31 = 15 remainder 21.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.