Long Division: 987 ÷ 17
Long Division Calculator
How to divide 987 by 17 using long division and find the remainder?
Answer
987 ÷ 17 = 58 remainder 1
987 ÷ 17 = 58 remainder 1
Visual Long Division
0
5
8
1
7
9
8
7
−
85
1
3
7
−
13
6
1
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 987 ÷ 17 using long division method step by step:
Step 1:Take the number 98 and divide by 17. We get 5 (write it in the quotient). Multiply 5 × 17 = 85 (write it below the dividend). Subtract 98 - 85 = 13. The remainder 13 is carried to the next step.
Step 2:Take the number 137 and divide by 17. We get 8 (write it in the quotient). Multiply 8 × 17 = 136 (write it below the dividend). Subtract 137 - 136 = 1. The remainder 1 is carried to the next step.
Final Step:The remainder 1 is smaller than the divisor 17, so the division is complete. The final answer is 58 with remainder 1.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 98 | 5 | 5 × 17 = 85 | 98 - 85 = 13 | 13 |
| 2 | 137 | 8 | 8 × 17 = 136 | 137 - 136 = 1 | 1 |
Final remainder: 1
Since 1 is less than 17, we cannot divide further. The final answer is 58 with remainder 1.
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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- 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
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Long Division Table
| Division | Quotient | Remainder |
|---|---|---|
| 153 ÷ 17 | 9 | 0 |
| 170 ÷ 17 | 10 | 0 |
| 187 ÷ 17 | 11 | 0 |
| 204 ÷ 17 | 12 | 0 |
| 221 ÷ 17 | 13 | 0 |
| 238 ÷ 17 | 14 | 0 |
| 255 ÷ 17 | 15 | 0 |
| 987 ÷ 17 | 58 | 1 |
| 1000 ÷ 17 | 58 | 14 |
| 1700 ÷ 17 | 100 | 0 |
| 9999 ÷ 17 | 588 | 3 |
| 10000 ÷ 17 | 588 | 4 |
| 17000 ÷ 17 | 1000 | 0 |
| 99995 ÷ 17 | 5882 | 1 |
| 99999 ÷ 17 | 5882 | 5 |
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 divide 987 by 17 using long division and find the remainder? (The answer is: When dividing 987 by 17, we get quotient 58 and remainder 1. Result: 987 ÷ 17 = 58 remainder 1.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.
Long Division Calculator