How to calculate 635 divided by 15 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 635 (the dividend) by 15 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 635 divided by 15 in decimal = 42.333333333333
- 635 divided by 15 in fraction = 635/15
- 635 divided by 15 in percentage = 4,233.3333333333%
What is the Quotient and Remainder of 635 divided by 15?
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 635 divided by 15 is 42, and the remainder is 5. Thus,
635 ÷ 15 = 42 R 5
When you divide Six Hundred And Thirty Five by Fifteen, the quotient is Forty Two, and the remainder is Five.
Let's calculate 635 divided by 15 using long division
Step 1:
1 | 5 | ⟌ | 6 | 3 | 5 |
Step 2:
0 | |||||
1 | 5 | ⟌ | 6 | 3 | 5 |
- | 0 | ||||
6 | 3 |
Step 3:
0 | 4 | ||||
1 | 5 | ⟌ | 6 | 3 | 5 |
- | 0 | ||||
6 | 3 | ||||
- | 6 | 0 | |||
3 |
Step 4:
0 | 4 | ||||
1 | 5 | ⟌ | 6 | 3 | 5 |
- | 0 | ||||
6 | 3 | ||||
- | 6 | 0 | |||
3 | 5 |
Step 5:
0 | 4 | 2 | ||||
1 | 5 | ⟌ | 6 | 3 | 5 | |
- | 0 | |||||
6 | 3 | |||||
- | 6 | 0 | ||||
3 | 5 | |||||
- | 3 | 0 | ||||
5 |
Verdict
The division of 635 by 15 results in a quotient of 42 and a remainder of 5, meaning 15 goes into 635 Forty Two times with 5 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.