How to calculate 387 divided by 40 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 40 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 387 divided by 40 in decimal = 9.675
- 387 divided by 40 in fraction = 387/40
- 387 divided by 40 in percentage = 967.5%
What is the Quotient and Remainder of 387 divided by 40?
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 40 is 9, and the remainder is 27. Thus,
387 ÷ 40 = 9 R 27
When you divide Three Hundred And Eighty Seven by Forty, the quotient is Nine, and the remainder is Twenty Seven.
Let's calculate 387 divided by 40 using long division
Step 1:
4 | 0 | ⟌ | 3 | 8 | 7 |
Step 2:
0 | |||||
4 | 0 | ⟌ | 3 | 8 | 7 |
- | 0 | ||||
3 | 8 |
Step 3:
0 | 0 | ||||
4 | 0 | ⟌ | 3 | 8 | 7 |
- | 0 | ||||
3 | 8 | ||||
- | 0 | ||||
3 | 8 |
Step 4:
0 | 0 | ||||
4 | 0 | ⟌ | 3 | 8 | 7 |
- | 0 | ||||
3 | 8 | ||||
- | 0 | ||||
3 | 8 | 7 |
Step 5:
0 | 0 | 9 | ||||
4 | 0 | ⟌ | 3 | 8 | 7 | |
- | 0 | |||||
3 | 8 | |||||
- | 0 | |||||
3 | 8 | 7 | ||||
- | 3 | 6 | 0 | |||
2 | 7 |
Verdict
The division of 387 by 40 results in a quotient of 9 and a remainder of 27, meaning 40 goes into 387 Nine times with 27 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.