How to calculate 180 divided by 31 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 180 (the dividend) by 31 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 180 divided by 31 in decimal = 5.8064516129032
- 180 divided by 31 in fraction = 180/31
- 180 divided by 31 in percentage = 580.64516129032%
What is the Quotient and Remainder of 180 divided by 31?
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 180 divided by 31 is 5, and the remainder is 25. Thus,
180 ÷ 31 = 5 R 25
When you divide One Hundred And Eighty by Thirty One, the quotient is Five, and the remainder is Twenty Five.
Let's calculate 180 divided by 31 using long division
Step 1:
3 | 1 | ⟌ | 1 | 8 | 0 |
Step 2:
0 | |||||
3 | 1 | ⟌ | 1 | 8 | 0 |
- | 0 | ||||
1 | 8 |
Step 3:
0 | 0 | ||||
3 | 1 | ⟌ | 1 | 8 | 0 |
- | 0 | ||||
1 | 8 | ||||
- | 0 | ||||
1 | 8 |
Step 4:
0 | 0 | ||||
3 | 1 | ⟌ | 1 | 8 | 0 |
- | 0 | ||||
1 | 8 | ||||
- | 0 | ||||
1 | 8 | 0 |
Step 5:
0 | 0 | 5 | ||||
3 | 1 | ⟌ | 1 | 8 | 0 | |
- | 0 | |||||
1 | 8 | |||||
- | 0 | |||||
1 | 8 | 0 | ||||
- | 1 | 5 | 5 | |||
2 | 5 |
Verdict
The division of 180 by 31 results in a quotient of 5 and a remainder of 25, meaning 31 goes into 180 Five times with 25 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.