How to calculate 175 divided by 27 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 175 (the dividend) by 27 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 175 divided by 27 in decimal = 6.4814814814815
- 175 divided by 27 in fraction = 175/27
- 175 divided by 27 in percentage = 648.14814814815%
What is the Quotient and Remainder of 175 divided by 27?
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 175 divided by 27 is 6, and the remainder is 13. Thus,
175 ÷ 27 = 6 R 13
When you divide One Hundred And Seventy Five by Twenty Seven, the quotient is Six, and the remainder is Thirteen.
Let's calculate 175 divided by 27 using long division
Step 1:
2 | 7 | ⟌ | 1 | 7 | 5 |
Step 2:
0 | |||||
2 | 7 | ⟌ | 1 | 7 | 5 |
- | 0 | ||||
1 | 7 |
Step 3:
0 | 0 | ||||
2 | 7 | ⟌ | 1 | 7 | 5 |
- | 0 | ||||
1 | 7 | ||||
- | 0 | ||||
1 | 7 |
Step 4:
0 | 0 | ||||
2 | 7 | ⟌ | 1 | 7 | 5 |
- | 0 | ||||
1 | 7 | ||||
- | 0 | ||||
1 | 7 | 5 |
Step 5:
0 | 0 | 6 | ||||
2 | 7 | ⟌ | 1 | 7 | 5 | |
- | 0 | |||||
1 | 7 | |||||
- | 0 | |||||
1 | 7 | 5 | ||||
- | 1 | 6 | 2 | |||
1 | 3 |
Verdict
The division of 175 by 27 results in a quotient of 6 and a remainder of 13, meaning 27 goes into 175 Six times with 13 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.