How to calculate 280 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 280 (the dividend) by 15 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 280 divided by 15 in decimal = 18.666666666667
- 280 divided by 15 in fraction = 280/15
- 280 divided by 15 in percentage = 1,866.6666666667%
What is the Quotient and Remainder of 280 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 280 divided by 15 is 18, and the remainder is 10. Thus,
280 ÷ 15 = 18 R 10
When you divide Two Hundred And Eighty by Fifteen, the quotient is Eighteen, and the remainder is Ten.
Let's calculate 280 divided by 15 using long division
Step 1:
1 | 5 | ⟌ | 2 | 8 | 0 |
Step 2:
0 | |||||
1 | 5 | ⟌ | 2 | 8 | 0 |
- | 0 | ||||
2 | 8 |
Step 3:
0 | 1 | ||||
1 | 5 | ⟌ | 2 | 8 | 0 |
- | 0 | ||||
2 | 8 | ||||
- | 1 | 5 | |||
1 | 3 |
Step 4:
0 | 1 | ||||
1 | 5 | ⟌ | 2 | 8 | 0 |
- | 0 | ||||
2 | 8 | ||||
- | 1 | 5 | |||
1 | 3 | 0 |
Step 5:
0 | 1 | 8 | ||||
1 | 5 | ⟌ | 2 | 8 | 0 | |
- | 0 | |||||
2 | 8 | |||||
- | 1 | 5 | ||||
1 | 3 | 0 | ||||
- | 1 | 2 | 0 | |||
1 | 0 |
Verdict
The division of 280 by 15 results in a quotient of 18 and a remainder of 10, meaning 15 goes into 280 Eighteen times with 10 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.