How to calculate 864 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 864 (the dividend) by 18 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 864 divided by 18 in decimal = 48
- 864 divided by 18 in fraction = 864/18
- 864 divided by 18 in percentage = 4,800%
What is the Quotient and Remainder of 864 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 864 is a multiple of 18, there should be no remainder.
The quotient of 864 divided by 18 is 48, and the remainder is 0. Thus,
864 ÷ 18 = 48 R 0
When you divide Eight Hundred And Sixty Four by Eighteen, the quotient is Forty Eight, and the remainder is Zero.
Let's calculate 864 divided by 18 using long division
Step 1:
1 | 8 | ⟌ | 8 | 6 | 4 |
Step 2:
0 | |||||
1 | 8 | ⟌ | 8 | 6 | 4 |
- | 0 | ||||
8 | 6 |
Step 3:
0 | 4 | ||||
1 | 8 | ⟌ | 8 | 6 | 4 |
- | 0 | ||||
8 | 6 | ||||
- | 7 | 2 | |||
1 | 4 |
Step 4:
0 | 4 | ||||
1 | 8 | ⟌ | 8 | 6 | 4 |
- | 0 | ||||
8 | 6 | ||||
- | 7 | 2 | |||
1 | 4 | 4 |
Step 5:
0 | 4 | 8 | ||||
1 | 8 | ⟌ | 8 | 6 | 4 | |
- | 0 | |||||
8 | 6 | |||||
- | 7 | 2 | ||||
1 | 4 | 4 | ||||
- | 1 | 4 | 4 | |||
0 |
Verdict
The division of 864 by 18 results in a quotient of 48 and a remainder of 0, meaning 18 goes into 864 Forty 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.