How to calculate 387 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 387 (the dividend) by 15 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 387 divided by 15 in decimal = 25.8
- 387 divided by 15 in fraction = 387/15
- 387 divided by 15 in percentage = 2,580%
What is the Quotient and Remainder of 387 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 387 divided by 15 is 25, and the remainder is 12. Thus,
387 ÷ 15 = 25 R 12
When you divide Three Hundred And Eighty Seven by Fifteen, the quotient is Twenty Five, and the remainder is Twelve.
Let's calculate 387 divided by 15 using long division
Step 1:
1 | 5 | ⟌ | 3 | 8 | 7 |
Step 2:
0 | |||||
1 | 5 | ⟌ | 3 | 8 | 7 |
- | 0 | ||||
3 | 8 |
Step 3:
0 | 2 | ||||
1 | 5 | ⟌ | 3 | 8 | 7 |
- | 0 | ||||
3 | 8 | ||||
- | 3 | 0 | |||
8 |
Step 4:
0 | 2 | ||||
1 | 5 | ⟌ | 3 | 8 | 7 |
- | 0 | ||||
3 | 8 | ||||
- | 3 | 0 | |||
8 | 7 |
Step 5:
0 | 2 | 5 | ||||
1 | 5 | ⟌ | 3 | 8 | 7 | |
- | 0 | |||||
3 | 8 | |||||
- | 3 | 0 | ||||
8 | 7 | |||||
- | 7 | 5 | ||||
1 | 2 |
Verdict
The division of 387 by 15 results in a quotient of 25 and a remainder of 12, meaning 15 goes into 387 Twenty Five times with 12 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.