Long Division: 131000 ÷ 12
Long Division Calculator
How to divide 131000 by 12 using long division and find the remainder?
Answer
131000 ÷ 12 = 10916 remainder 8
131000 ÷ 12 = 10916 remainder 8
Visual Long Division
0
1
0
9
1
6
1
2
1
3
1
0
0
0
−
12
1
1
−
10
8
2
0
−
12
8
0
−
72
8
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 131000 ÷ 12 using long division method step by step:
Step 1:Take the number 13 and divide by 12. We get 1 (write it in the quotient). Multiply 1 × 12 = 12 (write it below the dividend). Subtract 13 - 12 = 1. The remainder 1 is carried to the next step.
Step 2:Number 11 is less than divisor 12, so we write 0 in the quotient and move to the next digit.
Step 3:Take the number 110 and divide by 12. We get 9 (write it in the quotient). Multiply 9 × 12 = 108 (write it below the dividend). Subtract 110 - 108 = 2. The remainder 2 is carried to the next step.
Step 4:Take the number 20 and divide by 12. We get 1 (write it in the quotient). Multiply 1 × 12 = 12 (write it below the dividend). Subtract 20 - 12 = 8. The remainder 8 is carried to the next step.
Step 5:Take the number 80 and divide by 12. We get 6 (write it in the quotient). Multiply 6 × 12 = 72 (write it below the dividend). Subtract 80 - 72 = 8. The remainder 8 is carried to the next step.
Final Step:The remainder 8 is smaller than the divisor 12, so the division is complete. The final answer is 10916 with remainder 8.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 13 | 1 | 1 × 12 = 12 | 13 - 12 = 1 | 1 |
| 2 | 11 | 0 | 0 × 12 = 0 | 11 - 0 = 11 | 11 |
| 3 | 110 | 9 | 9 × 12 = 108 | 110 - 108 = 2 | 2 |
| 4 | 20 | 1 | 1 × 12 = 12 | 20 - 12 = 8 | 8 |
| 5 | 80 | 6 | 6 × 12 = 72 | 80 - 72 = 8 | 8 |
Final remainder: 8
Since 8 is less than 12, we cannot divide further. The final answer is 10916 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.
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Long Division Table
| Division | Quotient | Remainder |
|---|---|---|
| 123000 ÷ 12 | 10250 | 0 |
| 124000 ÷ 12 | 10333 | 4 |
| 125000 ÷ 12 | 10416 | 8 |
| 127000 ÷ 12 | 10583 | 4 |
| 128000 ÷ 12 | 10666 | 8 |
| 129000 ÷ 12 | 10750 | 0 |
| 130000 ÷ 12 | 10833 | 4 |
| 131000 ÷ 12 | 10916 | 8 |
| 132000 ÷ 12 | 11000 | 0 |
| 133000 ÷ 12 | 11083 | 4 |
| 134000 ÷ 12 | 11166 | 8 |
| 135000 ÷ 12 | 11250 | 0 |
| 136000 ÷ 12 | 11333 | 4 |
| 137000 ÷ 12 | 11416 | 8 |
| 138000 ÷ 12 | 11500 | 0 |
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 131000 by 12 using long division and find the remainder? (The answer is: When dividing 131000 by 12, we get quotient 10916 and remainder 8. Result: 131000 ÷ 12 = 10916 remainder 8.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.
Long Division Calculator