How to calculate 264 divided by 25 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 25 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 264 divided by 25 in decimal = 10.56
- 264 divided by 25 in fraction = 264/25
- 264 divided by 25 in percentage = 1,056%
What is the Quotient and Remainder of 264 divided by 25?
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 264 divided by 25 is 10, and the remainder is 14. Thus,
264 ÷ 25 = 10 R 14
When you divide Two Hundred And Sixty Four by Twenty Five, the quotient is Ten, and the remainder is Fourteen.
Let's calculate 264 divided by 25 using long division
Step 1:
2 | 5 | ⟌ | 2 | 6 | 4 |
Step 2:
0 | |||||
2 | 5 | ⟌ | 2 | 6 | 4 |
- | 0 | ||||
2 | 6 |
Step 3:
0 | 1 | ||||
2 | 5 | ⟌ | 2 | 6 | 4 |
- | 0 | ||||
2 | 6 | ||||
- | 2 | 5 | |||
1 |
Step 4:
0 | 1 | ||||
2 | 5 | ⟌ | 2 | 6 | 4 |
- | 0 | ||||
2 | 6 | ||||
- | 2 | 5 | |||
1 | 4 |
Step 5:
0 | 1 | 0 | ||||
2 | 5 | ⟌ | 2 | 6 | 4 | |
- | 0 | |||||
2 | 6 | |||||
- | 2 | 5 | ||||
1 | 4 | |||||
- | 0 | |||||
1 | 4 |
Verdict
The division of 264 by 25 results in a quotient of 10 and a remainder of 14, meaning 25 goes into 264 Ten times with 14 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.