How to calculate 323 divided by 5 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 323 (the dividend) by 5 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 323 divided by 5 in decimal = 64.6
- 323 divided by 5 in fraction = 323/5
- 323 divided by 5 in percentage = 6,460%
What is the Quotient and Remainder of 323 divided by 5?
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.
The quotient of 323 divided by 5 is 64, and the remainder is 3. Thus,
323 ÷ 5 = 64 R 3
When you divide Three Hundred And Twenty Three by Five, the quotient is Sixty Four, and the remainder is Three.
Let's calculate 323 divided by 5 using long division
Step 1:
5 | ⟌ | 3 | 2 | 3 |
Step 2:
0 | ||||
5 | ⟌ | 3 | 2 | 3 |
- | 0 | |||
3 | 2 |
Step 3:
0 | 6 | |||
5 | ⟌ | 3 | 2 | 3 |
- | 0 | |||
3 | 2 | |||
- | 3 | 0 | ||
2 |
Step 4:
0 | 6 | |||
5 | ⟌ | 3 | 2 | 3 |
- | 0 | |||
3 | 2 | |||
- | 3 | 0 | ||
2 | 3 |
Step 5:
0 | 6 | 4 | |||
5 | ⟌ | 3 | 2 | 3 | |
- | 0 | ||||
3 | 2 | ||||
- | 3 | 0 | |||
2 | 3 | ||||
- | 2 | 0 | |||
3 |
Verdict
The division of 323 by 5 results in a quotient of 64 and a remainder of 3, meaning 5 goes into 323 Sixty Four times with 3 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.