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 1,680 (the dividend) by 12 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 1,680 divided by 12 in decimal = 140
- 1,680 divided by 12 in fraction = 1,680/12
- 1,680 divided by 12 in percentage = 14,000%
What is the Quotient and Remainder of 1,680 divided by 12?
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 1,680 is a multiple of 12, there should be no remainder.
The quotient of 1,680 divided by 12 is 140, and the remainder is 0. Thus,
1,680 ÷ 12 = 140 R 0
When you divide One Thousand Six Hundred And Eighty by Twelve, the quotient is One Hundred And Forty, and the remainder is Zero.
Let's calculate 1,680 divided by 12 using long division
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
| 0 | 1 | 4 |
1 | 2 | ⟌ | 1 | 6 | 8 | 0 |
| - | 0 |
| |
| 1 | 6 |
| - | 1 | 2 |
| |
| 4 | 8 |
| - | 4 | 8 |
| |
| 0 |
Step 6:
| 0 | 1 | 4 |
1 | 2 | ⟌ | 1 | 6 | 8 | 0 |
| - | 0 |
| |
| 1 | 6 |
| - | 1 | 2 |
| |
| 4 | 8 |
| - | 4 | 8 |
| |
| 0 | 0 |
Step 7:
| 0 | 1 | 4 | 0 |
1 | 2 | ⟌ | 1 | 6 | 8 | 0 |
| - | 0 |
| |
| 1 | 6 |
| - | 1 | 2 |
| |
| 4 | 8 |
| - | 4 | 8 |
| |
| 0 | 0 |
| - | | 0 |
| |
| 0 |
Verdict
The division of 1,680 by 12 results in a quotient of 140 and a remainder of 0, meaning 12 goes into 1,680 One Hundred And Forty 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.