Long Division: 825 ÷ 5
Long Division Calculator
How to perform long division of 825 by 5?
Answer
825 ÷ 5 = 165
✓ exact division
825 ÷ 5 = 165
Visual Long Division
1
6
5
5
8
2
5
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53
2
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30
2
5
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25
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 825 ÷ 5 using long division method step by step:
Step 1:Take the number 8 and divide by 5. We get 1 (write it in the quotient). Multiply 1 × 5 = 5 (write it below the dividend). Subtract 8 - 5 = 3. The remainder 3 is carried to the next step.
Step 2:Take the number 32 and divide by 5. We get 6 (write it in the quotient). Multiply 6 × 5 = 30 (write it below the dividend). Subtract 32 - 30 = 2. The remainder 2 is carried to the next step.
Step 3:Take the number 25 and divide by 5. We get 5 (write it in the quotient). Multiply 5 × 5 = 25 (write it below the dividend). Subtract 25 - 25 = 0.
Final Step:The division is complete with no remainder. 825 divides exactly by 5 to give 165.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 8 | 1 | 1 × 5 = 5 | 8 - 5 = 3 | 3 |
| 2 | 32 | 6 | 6 × 5 = 30 | 32 - 30 = 2 | 2 |
| 3 | 25 | 5 | 5 × 5 = 25 | 25 - 25 = 0 | 0 |
Perfect division: 825 divides evenly by 5 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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- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
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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 825 by 5? (The answer is: The division of 825 by 5 is exact. Result: 825 ÷ 5 = 165.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.
Long Division Table
FAQ
How to perform long division of 825 by 5?
825 ÷ 5 = 165
Is 825 divisible by 5?
Yes, 825 is divisible by 5. The result is 165.
How to check the result of 825 ÷ 5?
Multiply the quotient 165 by the divisor 5. The result should equal 825.
See Also
- Long Division 803 ÷ 800 = 1, Remainder 3
- Long Division 804 ÷ 4 = 201 - Step by Step
- Long Division 805 ÷ 7 = 115 - Step by Step
- Long Division 805 ÷ 100 = 8, Remainder 5
- Long Division 810 ÷ 90 = 9 - Step by Step
- Long Division 816 ÷ 2 = 408 - Step by Step
- Long Division 819 ÷ 7 = 117 - Step by Step
- Long Division 820 ÷ 5 = 164 - Step by Step
- Long Division 824 ÷ 4 = 206 - Step by Step
- Long Division 825 ÷ 3 = 275 - Step by Step
- Long Division 825 ÷ 25 = 33 - Step by Step
- Long Division 825 ÷ 75 = 11 - Step by Step
- Long Division 826 ÷ 7 = 118 - Step by Step
- Long Division 828 ÷ 2 = 414 - Step by Step
- Long Division 828 ÷ 3 = 276 - Step by Step
- Long Division 828 ÷ 4 = 207 - Step by Step
- Long Division 828 ÷ 6 = 138 - Step by Step
- Long Division 832 ÷ 4 = 208 - Step by Step
- Long Division 832 ÷ 8 = 104 - Step by Step
- Long Division 832 ÷ 9 = 92, Remainder 4
- Деление в столбик 825 ÷ 5 = 165 с решением
- División larga 825 ÷ 5 = 165 - paso a paso
- Divisão longa 825 ÷ 5 = 165 - passo a passo