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 3,350 (the dividend) by 8 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 3,350 divided by 8 in decimal = 418.75
- 3,350 divided by 8 in fraction = 3,350/8
- 3,350 divided by 8 in percentage = 41,875%
What is the Quotient and Remainder of 3,350 divided by 8?
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 3,350 divided by 8 is 418, and the remainder is 6. Thus,
3,350 ÷ 8 = 418 R 6
When you divide Three Thousand Three Hundred And Fifty by Eight, the quotient is Four Hundred And Eighteen, and the remainder is Six.
Let's calculate 3,350 divided by 8 using long division
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
| 0 | 4 | 1 |
8 | ⟌ | 3 | 3 | 5 | 0 |
| - | 0 |
| |
| 3 | 3 |
| - | 3 | 2 |
| |
| 1 | 5 |
| - | | 8 |
| |
| 7 |
Step 6:
| 0 | 4 | 1 |
8 | ⟌ | 3 | 3 | 5 | 0 |
| - | 0 |
| |
| 3 | 3 |
| - | 3 | 2 |
| |
| 1 | 5 |
| - | | 8 |
| |
| 7 | 0 |
Step 7:
| 0 | 4 | 1 | 8 |
8 | ⟌ | 3 | 3 | 5 | 0 |
| - | 0 |
| |
| 3 | 3 |
| - | 3 | 2 |
| |
| 1 | 5 |
| - | | 8 |
| |
| 7 | 0 |
| - | 6 | 4 |
| |
| 6 |
Verdict
The division of 3,350 by 8 results in a quotient of 418 and a remainder of 6, meaning 8 goes into 3,350 Four Hundred And Eighteen times with 6 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.