How to calculate 684 divided by 18 using long division?
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 684 (the dividend) by 18 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 684 divided by 18 in decimal = 38
- 684 divided by 18 in fraction = 684/18
- 684 divided by 18 in percentage = 3,800%
What is the Quotient and Remainder of 684 divided by 18?
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 684 is a multiple of 18, there should be no remainder.
The quotient of 684 divided by 18 is 38, and the remainder is 0. Thus,
684 ÷ 18 = 38 R 0
When you divide Six Hundred And Eighty Four by Eighteen, the quotient is Thirty Eight, and the remainder is Zero.
Let's calculate 684 divided by 18 using long division
Step 1:
1 | 8 | ⟌ | 6 | 8 | 4 |
Step 2:
0 | |||||
1 | 8 | ⟌ | 6 | 8 | 4 |
- | 0 | ||||
6 | 8 |
Step 3:
0 | 3 | ||||
1 | 8 | ⟌ | 6 | 8 | 4 |
- | 0 | ||||
6 | 8 | ||||
- | 5 | 4 | |||
1 | 4 |
Step 4:
0 | 3 | ||||
1 | 8 | ⟌ | 6 | 8 | 4 |
- | 0 | ||||
6 | 8 | ||||
- | 5 | 4 | |||
1 | 4 | 4 |
Step 5:
0 | 3 | 8 | ||||
1 | 8 | ⟌ | 6 | 8 | 4 | |
- | 0 | |||||
6 | 8 | |||||
- | 5 | 4 | ||||
1 | 4 | 4 | ||||
- | 1 | 4 | 4 | |||
0 |
Verdict
The division of 684 by 18 results in a quotient of 38 and a remainder of 0, meaning 18 goes into 684 Thirty Eight 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.