Long Division: 21000 ÷ 12
Long Division Calculator
How to perform long division of 21,000 by 12?
Answer
21,000 ÷ 12 = 1,750
✓ exact division
21,000 ÷ 12 = 1,750
Visual Long Division
0
1
7
5
0
1
2
2
1
0
0
0
−
12
9
0
−
84
6
0
−
60
0
0
0
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 21,000 ÷ 12 using long division method step by step:
Step 1:Take the number 21 and divide by 12. We get 1 (write it in the quotient). Multiply 1 × 12 = 12 (write it below the dividend). Subtract 21 - 12 = 9. The remainder 9 is carried to the next step.
Step 2:Take the number 90 and divide by 12. We get 7 (write it in the quotient). Multiply 7 × 12 = 84 (write it below the dividend). Subtract 90 - 84 = 6. The remainder 6 is carried to the next step.
Step 3:Take the number 60 and divide by 12. We get 5 (write it in the quotient). Multiply 5 × 12 = 60 (write it below the dividend). Subtract 60 - 60 = 0.
Step 4:Number 0 is less than divisor 12, so we write 0 in the quotient and move to the next digit.
Final Step:The division is complete with no remainder. 21,000 divides exactly by 12 to give 1,750.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 21 | 1 | 1 × 12 = 12 | 21 - 12 = 9 | 9 |
| 2 | 90 | 7 | 7 × 12 = 84 | 90 - 84 = 6 | 6 |
| 3 | 60 | 5 | 5 × 12 = 60 | 60 - 60 = 0 | 0 |
| 4 | 0 | 0 | 0 × 12 = 0 | 0 - 0 = 0 | 0 |
Perfect division: 21,000 divides evenly by 12 with no remainder.
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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- 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
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Long Division Table
| Division | Quotient | Remainder |
|---|---|---|
| 1,000 ÷ 12 | 83 | 4 |
| 1,044 ÷ 12 | 87 | 0 |
| 1,200 ÷ 12 | 100 | 0 |
| 9,999 ÷ 12 | 833 | 3 |
| 10,000 ÷ 12 | 833 | 4 |
| 12,000 ÷ 12 | 1,000 | 0 |
| 20,097 ÷ 12 | 1,674 | 9 |
| 21,000 ÷ 12 | 1,750 | 0 |
| 22,000 ÷ 12 | 1,833 | 4 |
| 23,000 ÷ 12 | 1,916 | 8 |
| 24,000 ÷ 12 | 2,000 | 0 |
| 26,000 ÷ 12 | 2,166 | 8 |
| 27,000 ÷ 12 | 2,250 | 0 |
| 28,000 ÷ 12 | 2,333 | 4 |
| 29,000 ÷ 12 | 2,416 | 8 |
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 perform long division of 21,000 by 12? (The answer is: The division of 21,000 by 12 is exact. Result: 21,000 ÷ 12 = 1,750.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.