Long Division: 1020 ÷ 60
"Long Division Calculator" Calculator
How to perform long division of 1020 by 60?
Answer
1020 ÷ 60 = 17✓ exact division
1020 ÷ 60 = 17
Visual Long Division
0
0
1
7
6
0
1
0
2
0
−
60
4
2
0
−
42
0
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 1020 ÷ 60 using long division method step by step:
Step 1:Take the number 102 and divide by 60. We get 1 (write it in the quotient). Multiply 1 × 60 = 60 (write it below the dividend). Subtract 102 - 60 = 42. The remainder 42 is carried to the next step.
Step 2:Take the number 420 and divide by 60. We get 7 (write it in the quotient). Multiply 7 × 60 = 420 (write it below the dividend). Subtract 420 - 420 = 0.
Final Step:The division is complete with no remainder. 1020 divides exactly by 60 to give 17.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 102 | 1 | 1 × 60 = 60 | 102 - 60 = 42 | 42 |
| 2 | 420 | 7 | 7 × 60 = 420 | 420 - 420 = 0 | 0 |
Perfect division: 1020 divides evenly by 60 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.
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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
- 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 |
|---|---|---|
| 1013 ÷ 60 | 16 | 53 |
| 1014 ÷ 60 | 16 | 54 |
| 1015 ÷ 60 | 16 | 55 |
| 1016 ÷ 60 | 16 | 56 |
| 1017 ÷ 60 | 16 | 57 |
| 1018 ÷ 60 | 16 | 58 |
| 1019 ÷ 60 | 16 | 59 |
| 1020 ÷ 60 | 17 | 0 |
| 1021 ÷ 60 | 17 | 1 |
| 1022 ÷ 60 | 17 | 2 |
| 1023 ÷ 60 | 17 | 3 |
| 1024 ÷ 60 | 17 | 4 |
| 1025 ÷ 60 | 17 | 5 |
| 1026 ÷ 60 | 17 | 6 |
| 1027 ÷ 60 | 17 | 7 |
About "Long Division Calculator" 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 1020 by 60? (The answer is: The division of 1020 by 60 is exact. Result: 1020 ÷ 60 = 17.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.