Division is a fundamental arithmetic operation where we calculate how many times a number (divisor or denominator) can fit into another number (dividend or numerator). In this case, we are dividing 1,080 (the dividend) by 3 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 1,080 divided by 3 in decimal = 360
- 1,080 divided by 3 in fraction = 1,080/3
- 1,080 divided by 3 in percentage = 36,000%
What is the Quotient and Remainder of 1,080 divided by 3?
The quotient is calculated by dividing the dividend by the divisor, and the remainder is what's left over if the division doesn't result in a whole number. In this case, however, since 1,080 is a multiple of 3, there should be no remainder.
The quotient of 1,080 divided by 3 is 360, and the remainder is 0. Thus,
1,080 ÷ 3 = 360 R 0
When you divide One Thousand And Eighty by Three, the quotient is Three Hundred And Sixty, and the remainder is Zero.
Let's calculate 1,080 divided by 3 using long division
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
| 0 | 3 | 6 |
3 | ⟌ | 1 | 0 | 8 | 0 |
| - | 0 |
| |
| 1 | 0 |
| - | | 9 |
| |
| 1 | 8 |
| - | 1 | 8 |
| |
| 0 |
Step 6:
| 0 | 3 | 6 |
3 | ⟌ | 1 | 0 | 8 | 0 |
| - | 0 |
| |
| 1 | 0 |
| - | | 9 |
| |
| 1 | 8 |
| - | 1 | 8 |
| |
| 0 | 0 |
Step 7:
| 0 | 3 | 6 | 0 |
3 | ⟌ | 1 | 0 | 8 | 0 |
| - | 0 |
| |
| 1 | 0 |
| - | | 9 |
| |
| 1 | 8 |
| - | 1 | 8 |
| |
| 0 | 0 |
| - | | 0 |
| |
| 0 |
Verdict
The division of 1,080 by 3 results in a quotient of 360 and a remainder of 0, meaning 3 goes into 1,080 Three Hundred And Sixty times with 0 left over. Understanding this division process is crucial in both basic arithmetic and real-life applications where division is used, such as in financial calculations, data analysis, and everyday problem-solving.