How to calculate 135 divided by 35 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 135 (the dividend) by 35 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 135 divided by 35 in decimal = 3.8571428571429
- 135 divided by 35 in fraction = 135/35
- 135 divided by 35 in percentage = 385.71428571429%
What is the Quotient and Remainder of 135 divided by 35?
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 135 divided by 35 is 3, and the remainder is 30. Thus,
135 ÷ 35 = 3 R 30
When you divide One Hundred And Thirty Five by Thirty Five, the quotient is Three, and the remainder is Thirty.
Let's calculate 135 divided by 35 using long division
Step 1:
3 | 5 | ⟌ | 1 | 3 | 5 |
Step 2:
0 | |||||
3 | 5 | ⟌ | 1 | 3 | 5 |
- | 0 | ||||
1 | 3 |
Step 3:
0 | 0 | ||||
3 | 5 | ⟌ | 1 | 3 | 5 |
- | 0 | ||||
1 | 3 | ||||
- | 0 | ||||
1 | 3 |
Step 4:
0 | 0 | ||||
3 | 5 | ⟌ | 1 | 3 | 5 |
- | 0 | ||||
1 | 3 | ||||
- | 0 | ||||
1 | 3 | 5 |
Step 5:
0 | 0 | 3 | ||||
3 | 5 | ⟌ | 1 | 3 | 5 | |
- | 0 | |||||
1 | 3 | |||||
- | 0 | |||||
1 | 3 | 5 | ||||
- | 1 | 0 | 5 | |||
3 | 0 |
Verdict
The division of 135 by 35 results in a quotient of 3 and a remainder of 30, meaning 35 goes into 135 Three times with 30 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.