How to calculate 486 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 486 (the dividend) by 18 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 486 divided by 18 in decimal = 27
- 486 divided by 18 in fraction = 486/18
- 486 divided by 18 in percentage = 2,700%
What is the Quotient and Remainder of 486 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 486 is a multiple of 18, there should be no remainder.
The quotient of 486 divided by 18 is 27, and the remainder is 0. Thus,
486 ÷ 18 = 27 R 0
When you divide Four Hundred And Eighty Six by Eighteen, the quotient is Twenty Seven, and the remainder is Zero.
Let's calculate 486 divided by 18 using long division
Step 1:
1 | 8 | ⟌ | 4 | 8 | 6 |
Step 2:
0 | |||||
1 | 8 | ⟌ | 4 | 8 | 6 |
- | 0 | ||||
4 | 8 |
Step 3:
0 | 2 | ||||
1 | 8 | ⟌ | 4 | 8 | 6 |
- | 0 | ||||
4 | 8 | ||||
- | 3 | 6 | |||
1 | 2 |
Step 4:
0 | 2 | ||||
1 | 8 | ⟌ | 4 | 8 | 6 |
- | 0 | ||||
4 | 8 | ||||
- | 3 | 6 | |||
1 | 2 | 6 |
Step 5:
0 | 2 | 7 | ||||
1 | 8 | ⟌ | 4 | 8 | 6 | |
- | 0 | |||||
4 | 8 | |||||
- | 3 | 6 | ||||
1 | 2 | 6 | ||||
- | 1 | 2 | 6 | |||
0 |
Verdict
The division of 486 by 18 results in a quotient of 27 and a remainder of 0, meaning 18 goes into 486 Twenty Seven 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.