Long Division: 105 ÷ 21
Long Division Calculator
How to perform long division of 105 by 21?
Answer
105 ÷ 21 = 5
✓ exact division
105 ÷ 21 = 5
Visual Long Division
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This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 105 ÷ 21 using long division method step by step:
Step 1:Take the number 105 and divide by 21. We get 5 (write it in the quotient). Multiply 5 × 21 = 105 (write it below the dividend). Subtract 105 - 105 = 0.
Final Step:The division is complete with no remainder. 105 divides exactly by 21 to give 5.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 105 | 5 | 5 × 21 = 105 | 105 - 105 = 0 | 0 |
Perfect division: 105 divides evenly by 21 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 |
|---|---|---|
| 98 ÷ 21 | 4 | 14 |
| 99 ÷ 21 | 4 | 15 |
| 100 ÷ 21 | 4 | 16 |
| 101 ÷ 21 | 4 | 17 |
| 102 ÷ 21 | 4 | 18 |
| 103 ÷ 21 | 4 | 19 |
| 104 ÷ 21 | 4 | 20 |
| 105 ÷ 21 | 5 | 0 |
| 106 ÷ 21 | 5 | 1 |
| 107 ÷ 21 | 5 | 2 |
| 108 ÷ 21 | 5 | 3 |
| 109 ÷ 21 | 5 | 4 |
| 110 ÷ 21 | 5 | 5 |
| 111 ÷ 21 | 5 | 6 |
| 112 ÷ 21 | 5 | 7 |
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 105 by 21? (The answer is: The division of 105 by 21 is exact. Result: 105 ÷ 21 = 5.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.