How to calculate 279 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 279 (the dividend) by 8 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 279 divided by 8 in decimal = 34.875
- 279 divided by 8 in fraction = 279/8
- 279 divided by 8 in percentage = 3,487.5%
What is the Quotient and Remainder of 279 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 279 divided by 8 is 34, and the remainder is 7. Thus,
279 ÷ 8 = 34 R 7
When you divide Two Hundred And Seventy Nine by Eight, the quotient is Thirty Four, and the remainder is Seven.
Let's calculate 279 divided by 8 using long division
Step 1:
8 | ⟌ | 2 | 7 | 9 |
Step 2:
0 | ||||
8 | ⟌ | 2 | 7 | 9 |
- | 0 | |||
2 | 7 |
Step 3:
0 | 3 | |||
8 | ⟌ | 2 | 7 | 9 |
- | 0 | |||
2 | 7 | |||
- | 2 | 4 | ||
3 |
Step 4:
0 | 3 | |||
8 | ⟌ | 2 | 7 | 9 |
- | 0 | |||
2 | 7 | |||
- | 2 | 4 | ||
3 | 9 |
Step 5:
0 | 3 | 4 | |||
8 | ⟌ | 2 | 7 | 9 | |
- | 0 | ||||
2 | 7 | ||||
- | 2 | 4 | |||
3 | 9 | ||||
- | 3 | 2 | |||
7 |
Verdict
The division of 279 by 8 results in a quotient of 34 and a remainder of 7, meaning 8 goes into 279 Thirty Four times with 7 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.