How to calculate 558 divided by 8 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 558 (the dividend) by 8 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 558 divided by 8 in decimal = 69.75
- 558 divided by 8 in fraction = 558/8
- 558 divided by 8 in percentage = 6,975%
What is the Quotient and Remainder of 558 divided by 8?
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 558 divided by 8 is 69, and the remainder is 6. Thus,
558 ÷ 8 = 69 R 6
When you divide Five Hundred And Fifty Eight by Eight, the quotient is Sixty Nine, and the remainder is Six.
Let's calculate 558 divided by 8 using long division
Step 1:
8 | ⟌ | 5 | 5 | 8 |
Step 2:
0 | ||||
8 | ⟌ | 5 | 5 | 8 |
- | 0 | |||
5 | 5 |
Step 3:
0 | 6 | |||
8 | ⟌ | 5 | 5 | 8 |
- | 0 | |||
5 | 5 | |||
- | 4 | 8 | ||
7 |
Step 4:
0 | 6 | |||
8 | ⟌ | 5 | 5 | 8 |
- | 0 | |||
5 | 5 | |||
- | 4 | 8 | ||
7 | 8 |
Step 5:
0 | 6 | 9 | |||
8 | ⟌ | 5 | 5 | 8 | |
- | 0 | ||||
5 | 5 | ||||
- | 4 | 8 | |||
7 | 8 | ||||
- | 7 | 2 | |||
6 |
Verdict
The division of 558 by 8 results in a quotient of 69 and a remainder of 6, meaning 8 goes into 558 Sixty Nine times with 6 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.