Long Division: 195 ÷ 13
"Long Division Calculator" Calculator
How to perform long division of 195 by 13?
Answer: 195 ÷ 13 = 15✓ exact division
195 ÷ 13 = 15
Visual Long Division
0
1
5
1
3
1
9
5
−
13
6
5
−
65
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 195 ÷ 13 using long division method step by step:
Step 1:Take the number 19 and divide by 13. We get 1 (write it in the quotient). Multiply 1 × 13 = 13 (write it below the dividend). Subtract 19 - 13 = 6. The remainder 6 is carried to the next step.
Step 2:Take the number 65 and divide by 13. We get 5 (write it in the quotient). Multiply 5 × 13 = 65 (write it below the dividend). Subtract 65 - 65 = 0.
Final Step:The division is complete with no remainder. 195 divides exactly by 13 to give 15.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 19 | 1 | 1 × 13 = 13 | 19 - 13 = 6 | 6 |
| 2 | 65 | 5 | 5 × 13 = 65 | 65 - 65 = 0 | 0 |
Perfect division: 195 divides evenly by 13 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.
See Also
- About a number - 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
- Fraction to Percent - What percentage one number is of another? Convert fraction into a percentage
About "Long Division Calculator" Calculator
Long division calculator with step-by-step explanation. Enter dividend (e.g. '29224' or '58.5') and divisor (e.g. '4' or '1.25') to get detailed solution with visualization.
"Long Division Calculator" Calculator
FAQ
How to perform long division of 195 by 13?
195 ÷ 13 = 15 ✓ exact division
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