How to calculate 265 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 265 (the dividend) by 25 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 265 divided by 25 in decimal = 10.6
- 265 divided by 25 in fraction = 265/25
- 265 divided by 25 in percentage = 1,060%
What is the Quotient and Remainder of 265 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 265 divided by 25 is 10, and the remainder is 15. Thus,
265 ÷ 25 = 10 R 15
When you divide Two Hundred And Sixty Five by Twenty Five, the quotient is Ten, and the remainder is Fifteen.
Let's calculate 265 divided by 25 using long division
Step 1:
2 | 5 | ⟌ | 2 | 6 | 5 |
Step 2:
0 | |||||
2 | 5 | ⟌ | 2 | 6 | 5 |
- | 0 | ||||
2 | 6 |
Step 3:
0 | 1 | ||||
2 | 5 | ⟌ | 2 | 6 | 5 |
- | 0 | ||||
2 | 6 | ||||
- | 2 | 5 | |||
1 |
Step 4:
0 | 1 | ||||
2 | 5 | ⟌ | 2 | 6 | 5 |
- | 0 | ||||
2 | 6 | ||||
- | 2 | 5 | |||
1 | 5 |
Step 5:
0 | 1 | 0 | ||||
2 | 5 | ⟌ | 2 | 6 | 5 | |
- | 0 | |||||
2 | 6 | |||||
- | 2 | 5 | ||||
1 | 5 | |||||
- | 0 | |||||
1 | 5 |
Verdict
The division of 265 by 25 results in a quotient of 10 and a remainder of 15, meaning 25 goes into 265 Ten times with 15 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.