How to calculate 180 divided by 13 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 13 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 180 divided by 13 in decimal = 13.846153846154
- 180 divided by 13 in fraction = 180/13
- 180 divided by 13 in percentage = 1,384.6153846154%
What is the Quotient and Remainder of 180 divided by 13?
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 13 is 13, and the remainder is 11. Thus,
180 ÷ 13 = 13 R 11
When you divide One Hundred And Eighty by Thirteen, the quotient is Thirteen, and the remainder is Eleven.
Let's calculate 180 divided by 13 using long division
Step 1:
1 | 3 | ⟌ | 1 | 8 | 0 |
Step 2:
0 | |||||
1 | 3 | ⟌ | 1 | 8 | 0 |
- | 0 | ||||
1 | 8 |
Step 3:
0 | 1 | ||||
1 | 3 | ⟌ | 1 | 8 | 0 |
- | 0 | ||||
1 | 8 | ||||
- | 1 | 3 | |||
5 |
Step 4:
0 | 1 | ||||
1 | 3 | ⟌ | 1 | 8 | 0 |
- | 0 | ||||
1 | 8 | ||||
- | 1 | 3 | |||
5 | 0 |
Step 5:
0 | 1 | 3 | ||||
1 | 3 | ⟌ | 1 | 8 | 0 | |
- | 0 | |||||
1 | 8 | |||||
- | 1 | 3 | ||||
5 | 0 | |||||
- | 3 | 9 | ||||
1 | 1 |
Verdict
The division of 180 by 13 results in a quotient of 13 and a remainder of 11, meaning 13 goes into 180 Thirteen times with 11 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.