How to calculate 140 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 140 (the dividend) by 13 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 140 divided by 13 in decimal = 10.769230769231
- 140 divided by 13 in fraction = 140/13
- 140 divided by 13 in percentage = 1,076.9230769231%
What is the Quotient and Remainder of 140 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 140 divided by 13 is 10, and the remainder is 10. Thus,
140 ÷ 13 = 10 R 10
When you divide One Hundred And Forty by Thirteen, the quotient is Ten, and the remainder is Ten.
Let's calculate 140 divided by 13 using long division
Step 1:
1 | 3 | ⟌ | 1 | 4 | 0 |
Step 2:
0 | |||||
1 | 3 | ⟌ | 1 | 4 | 0 |
- | 0 | ||||
1 | 4 |
Step 3:
0 | 1 | ||||
1 | 3 | ⟌ | 1 | 4 | 0 |
- | 0 | ||||
1 | 4 | ||||
- | 1 | 3 | |||
1 |
Step 4:
0 | 1 | ||||
1 | 3 | ⟌ | 1 | 4 | 0 |
- | 0 | ||||
1 | 4 | ||||
- | 1 | 3 | |||
1 | 0 |
Step 5:
0 | 1 | 0 | ||||
1 | 3 | ⟌ | 1 | 4 | 0 | |
- | 0 | |||||
1 | 4 | |||||
- | 1 | 3 | ||||
1 | 0 | |||||
- | 0 | |||||
1 | 0 |
Verdict
The division of 140 by 13 results in a quotient of 10 and a remainder of 10, meaning 13 goes into 140 Ten times with 10 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.