Long Division: 9974 ÷ 35
"Long Division Calculator" Calculator
How to divide 9974 by 35 using long division and find the remainder?
Answer: 9974 ÷ 35 = 284 remainder 34
9974 ÷ 35 = 284 remainder 34
Visual Long Division
0
2
8
4
3
5
9
9
7
4
−
70
2
9
7
−
28
0
1
7
4
−
14
0
3
4
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 9974 ÷ 35 using long division method step by step:
Step 1:Take the number 99 and divide by 35. We get 2 (write it in the quotient). Multiply 2 × 35 = 70 (write it below the dividend). Subtract 99 - 70 = 29. The remainder 29 is carried to the next step.
Step 2:Take the number 297 and divide by 35. We get 8 (write it in the quotient). Multiply 8 × 35 = 280 (write it below the dividend). Subtract 297 - 280 = 17. The remainder 17 is carried to the next step.
Step 3:Take the number 174 and divide by 35. We get 4 (write it in the quotient). Multiply 4 × 35 = 140 (write it below the dividend). Subtract 174 - 140 = 34. The remainder 34 is carried to the next step.
Final Step:The remainder 34 is smaller than the divisor 35, so the division is complete. The final answer is 284 with remainder 34.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 99 | 2 | 2 × 35 = 70 | 99 - 70 = 29 | 29 |
| 2 | 297 | 8 | 8 × 35 = 280 | 297 - 280 = 17 | 17 |
| 3 | 174 | 4 | 4 × 35 = 140 | 174 - 140 = 34 | 34 |
Final remainder: 34
Since 34 is less than 35, we cannot divide further. The final answer is 284 with remainder 34.
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.