How to calculate 825 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 825 (the dividend) by 35 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 825 divided by 35 in decimal = 23.571428571429
- 825 divided by 35 in fraction = 825/35
- 825 divided by 35 in percentage = 2,357.1428571429%
What is the Quotient and Remainder of 825 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 825 divided by 35 is 23, and the remainder is 20. Thus,
825 ÷ 35 = 23 R 20
When you divide Eight Hundred And Twenty Five by Thirty Five, the quotient is Twenty Three, and the remainder is Twenty.
Let's calculate 825 divided by 35 using long division
Step 1:
3 | 5 | ⟌ | 8 | 2 | 5 |
Step 2:
0 | |||||
3 | 5 | ⟌ | 8 | 2 | 5 |
- | 0 | ||||
8 | 2 |
Step 3:
0 | 2 | ||||
3 | 5 | ⟌ | 8 | 2 | 5 |
- | 0 | ||||
8 | 2 | ||||
- | 7 | 0 | |||
1 | 2 |
Step 4:
0 | 2 | ||||
3 | 5 | ⟌ | 8 | 2 | 5 |
- | 0 | ||||
8 | 2 | ||||
- | 7 | 0 | |||
1 | 2 | 5 |
Step 5:
0 | 2 | 3 | ||||
3 | 5 | ⟌ | 8 | 2 | 5 | |
- | 0 | |||||
8 | 2 | |||||
- | 7 | 0 | ||||
1 | 2 | 5 | ||||
- | 1 | 0 | 5 | |||
2 | 0 |
Verdict
The division of 825 by 35 results in a quotient of 23 and a remainder of 20, meaning 35 goes into 825 Twenty Three times with 20 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.