How to calculate 130 divided by 26 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 130 (the dividend) by 26 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 130 divided by 26 in decimal = 5
- 130 divided by 26 in fraction = 130/26
- 130 divided by 26 in percentage = 500%
What is the Quotient and Remainder of 130 divided by 26?
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. In this case, however, since 130 is a multiple of 26, there should be no remainder.
The quotient of 130 divided by 26 is 5, and the remainder is 0. Thus,
130 ÷ 26 = 5 R 0
When you divide One Hundred And Thirty by Twenty Six, the quotient is Five, and the remainder is Zero.
Let's calculate 130 divided by 26 using long division
Step 1:
2 | 6 | ⟌ | 1 | 3 | 0 |
Step 2:
0 | |||||
2 | 6 | ⟌ | 1 | 3 | 0 |
- | 0 | ||||
1 | 3 |
Step 3:
0 | 0 | ||||
2 | 6 | ⟌ | 1 | 3 | 0 |
- | 0 | ||||
1 | 3 | ||||
- | 0 | ||||
1 | 3 |
Step 4:
0 | 0 | ||||
2 | 6 | ⟌ | 1 | 3 | 0 |
- | 0 | ||||
1 | 3 | ||||
- | 0 | ||||
1 | 3 | 0 |
Step 5:
0 | 0 | 5 | ||||
2 | 6 | ⟌ | 1 | 3 | 0 | |
- | 0 | |||||
1 | 3 | |||||
- | 0 | |||||
1 | 3 | 0 | ||||
- | 1 | 3 | 0 | |||
0 |
Verdict
The division of 130 by 26 results in a quotient of 5 and a remainder of 0, meaning 26 goes into 130 Five times with 0 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.