How to calculate 486 divided by 3 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 3 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 486 divided by 3 in decimal = 162
- 486 divided by 3 in fraction = 486/3
- 486 divided by 3 in percentage = 16,200%
What is the Quotient and Remainder of 486 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 486 is a multiple of 3, there should be no remainder.
The quotient of 486 divided by 3 is 162, and the remainder is 0. Thus,
486 ÷ 3 = 162 R 0
When you divide Four Hundred And Eighty Six by Three, the quotient is One Hundred And Sixty Two, and the remainder is Zero.
Let's calculate 486 divided by 3 using long division
Step 1:
3 | ⟌ | 4 | 8 | 6 |
Step 2:
1 | ||||
3 | ⟌ | 4 | 8 | 6 |
- | 3 | |||
1 |
Step 3:
1 | ||||
3 | ⟌ | 4 | 8 | 6 |
- | 3 | |||
1 | 8 |
Step 4:
1 | 6 | |||
3 | ⟌ | 4 | 8 | 6 |
- | 3 | |||
1 | 8 | |||
- | 1 | 8 | ||
0 |
Step 5:
1 | 6 | |||
3 | ⟌ | 4 | 8 | 6 |
- | 3 | |||
1 | 8 | |||
- | 1 | 8 | ||
0 | 6 |
Step 6:
1 | 6 | 2 | |||
3 | ⟌ | 4 | 8 | 6 | |
- | 3 | ||||
1 | 8 | ||||
- | 1 | 8 | |||
0 | 6 | ||||
- | 6 | ||||
0 |
Verdict
The division of 486 by 3 results in a quotient of 162 and a remainder of 0, meaning 3 goes into 486 One Hundred And Sixty Two 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.