How to calculate 557 divided by 7 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 557 (the dividend) by 7 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 557 divided by 7 in decimal = 79.571428571429
- 557 divided by 7 in fraction = 557/7
- 557 divided by 7 in percentage = 7,957.1428571429%
What is the Quotient and Remainder of 557 divided by 7?
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 557 divided by 7 is 79, and the remainder is 4. Thus,
557 ÷ 7 = 79 R 4
When you divide Five Hundred And Fifty Seven by Seven, the quotient is Seventy Nine, and the remainder is Four.
Let's calculate 557 divided by 7 using long division
Step 1:
7 | ⟌ | 5 | 5 | 7 |
Step 2:
0 | ||||
7 | ⟌ | 5 | 5 | 7 |
- | 0 | |||
5 | 5 |
Step 3:
0 | 7 | |||
7 | ⟌ | 5 | 5 | 7 |
- | 0 | |||
5 | 5 | |||
- | 4 | 9 | ||
6 |
Step 4:
0 | 7 | |||
7 | ⟌ | 5 | 5 | 7 |
- | 0 | |||
5 | 5 | |||
- | 4 | 9 | ||
6 | 7 |
Step 5:
0 | 7 | 9 | |||
7 | ⟌ | 5 | 5 | 7 | |
- | 0 | ||||
5 | 5 | ||||
- | 4 | 9 | |||
6 | 7 | ||||
- | 6 | 3 | |||
4 |
Verdict
The division of 557 by 7 results in a quotient of 79 and a remainder of 4, meaning 7 goes into 557 Seventy Nine times with 4 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.