Long Division: 50092 ÷ 38
"Long Division Calculator" Calculator
How to divide 50092 by 38 using long division and find the remainder?
Answer: 50092 ÷ 38 = 1318 remainder 8
50092 ÷ 38 = 1318 remainder 8
Visual Long Division
0
1
3
1
8
3
8
5
0
0
9
2
−
38
1
2
0
−
11
4
6
9
−
38
3
1
2
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30
4
8
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 50092 ÷ 38 using long division method step by step:
Step 1:Take the number 50 and divide by 38. We get 1 (write it in the quotient). Multiply 1 × 38 = 38 (write it below the dividend). Subtract 50 - 38 = 12. The remainder 12 is carried to the next step.
Step 2:Take the number 120 and divide by 38. We get 3 (write it in the quotient). Multiply 3 × 38 = 114 (write it below the dividend). Subtract 120 - 114 = 6. The remainder 6 is carried to the next step.
Step 3:Take the number 69 and divide by 38. We get 1 (write it in the quotient). Multiply 1 × 38 = 38 (write it below the dividend). Subtract 69 - 38 = 31. The remainder 31 is carried to the next step.
Step 4:Take the number 312 and divide by 38. We get 8 (write it in the quotient). Multiply 8 × 38 = 304 (write it below the dividend). Subtract 312 - 304 = 8. The remainder 8 is carried to the next step.
Final Step:The remainder 8 is smaller than the divisor 38, so the division is complete. The final answer is 1318 with remainder 8.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 50 | 1 | 1 × 38 = 38 | 50 - 38 = 12 | 12 |
| 2 | 120 | 3 | 3 × 38 = 114 | 120 - 114 = 6 | 6 |
| 3 | 69 | 1 | 1 × 38 = 38 | 69 - 38 = 31 | 31 |
| 4 | 312 | 8 | 8 × 38 = 304 | 312 - 304 = 8 | 8 |
Final remainder: 8
Since 8 is less than 38, we cannot divide further. The final answer is 1318 with remainder 8.
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
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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.