How to calculate 264 divided by 24 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 264 (the dividend) by 24 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 264 divided by 24 in decimal = 11
- 264 divided by 24 in fraction = 264/24
- 264 divided by 24 in percentage = 1,100%
What is the Quotient and Remainder of 264 divided by 24?
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. In this case, however, since 264 is a multiple of 24, there should be no remainder.
The quotient of 264 divided by 24 is 11, and the remainder is 0. Thus,
264 ÷ 24 = 11 R 0
When you divide Two Hundred And Sixty Four by Twenty Four, the quotient is Eleven, and the remainder is Zero.
Let's calculate 264 divided by 24 using long division
Step 1:
2 | 4 | ⟌ | 2 | 6 | 4 |
Step 2:
0 | |||||
2 | 4 | ⟌ | 2 | 6 | 4 |
- | 0 | ||||
2 | 6 |
Step 3:
0 | 1 | ||||
2 | 4 | ⟌ | 2 | 6 | 4 |
- | 0 | ||||
2 | 6 | ||||
- | 2 | 4 | |||
2 |
Step 4:
0 | 1 | ||||
2 | 4 | ⟌ | 2 | 6 | 4 |
- | 0 | ||||
2 | 6 | ||||
- | 2 | 4 | |||
2 | 4 |
Step 5:
0 | 1 | 1 | ||||
2 | 4 | ⟌ | 2 | 6 | 4 | |
- | 0 | |||||
2 | 6 | |||||
- | 2 | 4 | ||||
2 | 4 | |||||
- | 2 | 4 | ||||
0 |
Verdict
The division of 264 by 24 results in a quotient of 11 and a remainder of 0, meaning 24 goes into 264 Eleven times with 0 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.