How to calculate 270 divided by 11 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 270 (the dividend) by 11 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 270 divided by 11 in decimal = 24.545454545455
- 270 divided by 11 in fraction = 270/11
- 270 divided by 11 in percentage = 2,454.5454545455%
What is the Quotient and Remainder of 270 divided by 11?
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 270 divided by 11 is 24, and the remainder is 6. Thus,
270 ÷ 11 = 24 R 6
When you divide Two Hundred And Seventy by Eleven, the quotient is Twenty Four, and the remainder is Six.
Let's calculate 270 divided by 11 using long division
Step 1:
1 | 1 | ⟌ | 2 | 7 | 0 |
Step 2:
0 | |||||
1 | 1 | ⟌ | 2 | 7 | 0 |
- | 0 | ||||
2 | 7 |
Step 3:
0 | 2 | ||||
1 | 1 | ⟌ | 2 | 7 | 0 |
- | 0 | ||||
2 | 7 | ||||
- | 2 | 2 | |||
5 |
Step 4:
0 | 2 | ||||
1 | 1 | ⟌ | 2 | 7 | 0 |
- | 0 | ||||
2 | 7 | ||||
- | 2 | 2 | |||
5 | 0 |
Step 5:
0 | 2 | 4 | ||||
1 | 1 | ⟌ | 2 | 7 | 0 | |
- | 0 | |||||
2 | 7 | |||||
- | 2 | 2 | ||||
5 | 0 | |||||
- | 4 | 4 | ||||
6 |
Verdict
The division of 270 by 11 results in a quotient of 24 and a remainder of 6, meaning 11 goes into 270 Twenty Four 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.