How to calculate 796 divided by 3 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 796 (the dividend) by 3 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 796 divided by 3 in decimal = 265.33333333333
- 796 divided by 3 in fraction = 796/3
- 796 divided by 3 in percentage = 26,533.333333333%
What is the Quotient and Remainder of 796 divided by 3?
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 796 divided by 3 is 265, and the remainder is 1. Thus,
796 ÷ 3 = 265 R 1
When you divide Seven Hundred And Ninety Six by Three, the quotient is Two Hundred And Sixty Five, and the remainder is One.
Let's calculate 796 divided by 3 using long division
Step 1:
3 | ⟌ | 7 | 9 | 6 |
Step 2:
2 | ||||
3 | ⟌ | 7 | 9 | 6 |
- | 6 | |||
1 |
Step 3:
2 | ||||
3 | ⟌ | 7 | 9 | 6 |
- | 6 | |||
1 | 9 |
Step 4:
2 | 6 | |||
3 | ⟌ | 7 | 9 | 6 |
- | 6 | |||
1 | 9 | |||
- | 1 | 8 | ||
1 |
Step 5:
2 | 6 | |||
3 | ⟌ | 7 | 9 | 6 |
- | 6 | |||
1 | 9 | |||
- | 1 | 8 | ||
1 | 6 |
Step 6:
2 | 6 | 5 | |||
3 | ⟌ | 7 | 9 | 6 | |
- | 6 | ||||
1 | 9 | ||||
- | 1 | 8 | |||
1 | 6 | ||||
- | 1 | 5 | |||
1 |
Verdict
The division of 796 by 3 results in a quotient of 265 and a remainder of 1, meaning 3 goes into 796 Two Hundred And Sixty Five times with 1 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.