Long Division: 675 ÷ 5
Long Division Calculator
How to perform long division of 675 by 5?
Answer
675 ÷ 5 = 135
✓ exact division
675 ÷ 5 = 135
Visual Long Division
1
3
5
5
6
7
5
−
51
7
−
15
2
5
−
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 675 ÷ 5 using long division method step by step:
Step 1:Take the number 6 and divide by 5. We get 1 (write it in the quotient). Multiply 1 × 5 = 5 (write it below the dividend). Subtract 6 - 5 = 1. The remainder 1 is carried to the next step.
Step 2:Take the number 17 and divide by 5. We get 3 (write it in the quotient). Multiply 3 × 5 = 15 (write it below the dividend). Subtract 17 - 15 = 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. 675 divides exactly by 5 to give 135.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 6 | 1 | 1 × 5 = 5 | 6 - 5 = 1 | 1 |
| 2 | 17 | 3 | 3 × 5 = 15 | 17 - 15 = 2 | 2 |
| 3 | 25 | 5 | 5 × 5 = 25 | 25 - 25 = 0 | 0 |
Perfect division: 675 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.
Related Calculations
See Also
- Number Facts & Properties - All information about a specific number (spelling, factors, prime check, binary, hexadecimal, QR Code, Barcode and more)
- 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
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 675 by 5? (The answer is: The division of 675 by 5 is exact. Result: 675 ÷ 5 = 135.). 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 675 by 5?
675 ÷ 5 = 135
Is 675 divisible by 5?
Yes, 675 is divisible by 5. The result is 135.
How to check the result of 675 ÷ 5?
Multiply the quotient 135 by the divisor 5. The result should equal 675.
See Also
- Long Division 650 ÷ 50 = 13 - Step by Step
- Long Division 651 ÷ 56 = 11, Remainder 35
- Long Division 654 ÷ 2 = 327 - Step by Step
- Long Division 657 ÷ 3 = 219 - Step by Step
- Long Division 658 ÷ 2 = 329 - Step by Step
- Long Division 660 ÷ 60 = 11 - Step by Step
- Long Division 667 ÷ 7 = 95, Remainder 2
- Long Division 672 ÷ 7 = 96 - Step by Step
- Long Division 672 ÷ 8 = 84 - Step by Step
- Long Division 674 ÷ 2 = 337 - Step by Step
- Long Division 675 ÷ 45 = 15 - Step by Step
- Long Division 675 ÷ 75 = 9 - Step by Step
- Long Division 678 ÷ 6 = 113 - Step by Step
- Long Division 684 ÷ 3 = 228 - Step by Step
- Long Division 684 ÷ 30 = 22, Remainder 24
- Long Division 688 ÷ 4 = 172 - Step by Step
- Long Division 693 ÷ 3 = 231 - Step by Step
- Long Division 693 ÷ 9 = 77 - Step by Step
- Long Division 694 ÷ 2 = 347 - Step by Step
- Long Division 695 ÷ 5 = 139 - Step by Step
- Деление в столбик 675 ÷ 5 = 135 с решением
- División larga 675 ÷ 5 = 135 - paso a paso
- Divisão longa 675 ÷ 5 = 135 - passo a passo