How to calculate 180 divided by 14 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 14 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 180 divided by 14 in decimal = 12.857142857143
- 180 divided by 14 in fraction = 180/14
- 180 divided by 14 in percentage = 1,285.7142857143%
What is the Quotient and Remainder of 180 divided by 14?
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 14 is 12, and the remainder is 12. Thus,
180 ÷ 14 = 12 R 12
When you divide One Hundred And Eighty by Fourteen, the quotient is Twelve, and the remainder is Twelve.
Let's calculate 180 divided by 14 using long division
Step 1:
1 | 4 | ⟌ | 1 | 8 | 0 |
Step 2:
0 | |||||
1 | 4 | ⟌ | 1 | 8 | 0 |
- | 0 | ||||
1 | 8 |
Step 3:
0 | 1 | ||||
1 | 4 | ⟌ | 1 | 8 | 0 |
- | 0 | ||||
1 | 8 | ||||
- | 1 | 4 | |||
4 |
Step 4:
0 | 1 | ||||
1 | 4 | ⟌ | 1 | 8 | 0 |
- | 0 | ||||
1 | 8 | ||||
- | 1 | 4 | |||
4 | 0 |
Step 5:
0 | 1 | 2 | ||||
1 | 4 | ⟌ | 1 | 8 | 0 | |
- | 0 | |||||
1 | 8 | |||||
- | 1 | 4 | ||||
4 | 0 | |||||
- | 2 | 8 | ||||
1 | 2 |
Verdict
The division of 180 by 14 results in a quotient of 12 and a remainder of 12, meaning 14 goes into 180 Twelve 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.