How to calculate 261 divided by 15 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 261 (the dividend) by 15 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 261 divided by 15 in decimal = 17.4
- 261 divided by 15 in fraction = 261/15
- 261 divided by 15 in percentage = 1,740%
What is the Quotient and Remainder of 261 divided by 15?
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 261 divided by 15 is 17, and the remainder is 6. Thus,
261 ÷ 15 = 17 R 6
When you divide Two Hundred And Sixty One by Fifteen, the quotient is Seventeen, and the remainder is Six.
Let's calculate 261 divided by 15 using long division
Step 1:
1 | 5 | ⟌ | 2 | 6 | 1 |
Step 2:
0 | |||||
1 | 5 | ⟌ | 2 | 6 | 1 |
- | 0 | ||||
2 | 6 |
Step 3:
0 | 1 | ||||
1 | 5 | ⟌ | 2 | 6 | 1 |
- | 0 | ||||
2 | 6 | ||||
- | 1 | 5 | |||
1 | 1 |
Step 4:
0 | 1 | ||||
1 | 5 | ⟌ | 2 | 6 | 1 |
- | 0 | ||||
2 | 6 | ||||
- | 1 | 5 | |||
1 | 1 | 1 |
Step 5:
0 | 1 | 7 | ||||
1 | 5 | ⟌ | 2 | 6 | 1 | |
- | 0 | |||||
2 | 6 | |||||
- | 1 | 5 | ||||
1 | 1 | 1 | ||||
- | 1 | 0 | 5 | |||
6 |
Verdict
The division of 261 by 15 results in a quotient of 17 and a remainder of 6, meaning 15 goes into 261 Seventeen 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.