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 3,450 (the dividend) by 15 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 3,450 divided by 15 in decimal = 230
- 3,450 divided by 15 in fraction = 3,450/15
- 3,450 divided by 15 in percentage = 23,000%
What is the Quotient and Remainder of 3,450 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. In this case, however, since 3,450 is a multiple of 15, there should be no remainder.
The quotient of 3,450 divided by 15 is 230, and the remainder is 0. Thus,
3,450 ÷ 15 = 230 R 0
When you divide Three Thousand Four Hundred And Fifty by Fifteen, the quotient is Two Hundred And Thirty, and the remainder is Zero.
Let's calculate 3,450 divided by 15 using long division
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
| 0 | 2 | 3 |
1 | 5 | ⟌ | 3 | 4 | 5 | 0 |
| - | 0 |
| |
| 3 | 4 |
| - | 3 | 0 |
| |
| 4 | 5 |
| - | 4 | 5 |
| |
| 0 |
Step 6:
| 0 | 2 | 3 |
1 | 5 | ⟌ | 3 | 4 | 5 | 0 |
| - | 0 |
| |
| 3 | 4 |
| - | 3 | 0 |
| |
| 4 | 5 |
| - | 4 | 5 |
| |
| 0 | 0 |
Step 7:
| 0 | 2 | 3 | 0 |
1 | 5 | ⟌ | 3 | 4 | 5 | 0 |
| - | 0 |
| |
| 3 | 4 |
| - | 3 | 0 |
| |
| 4 | 5 |
| - | 4 | 5 |
| |
| 0 | 0 |
| - | | 0 |
| |
| 0 |
Verdict
The division of 3,450 by 15 results in a quotient of 230 and a remainder of 0, meaning 15 goes into 3,450 Two Hundred And Thirty times with 0 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.