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 3,250 (the dividend) by 5 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 3,250 divided by 5 in decimal = 650
- 3,250 divided by 5 in fraction = 3,250/5
- 3,250 divided by 5 in percentage = 65,000%
What is the Quotient and Remainder of 3,250 divided by 5?
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 3,250 is a multiple of 5, there should be no remainder.
The quotient of 3,250 divided by 5 is 650, and the remainder is 0. Thus,
3,250 ÷ 5 = 650 R 0
When you divide Three Thousand Two Hundred And Fifty by Five, the quotient is Six Hundred And Fifty, and the remainder is Zero.
Let's calculate 3,250 divided by 5 using long division
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
| 0 | 6 | 5 |
5 | ⟌ | 3 | 2 | 5 | 0 |
| - | 0 |
| |
| 3 | 2 |
| - | 3 | 0 |
| |
| 2 | 5 |
| - | 2 | 5 |
| |
| 0 |
Step 6:
| 0 | 6 | 5 |
5 | ⟌ | 3 | 2 | 5 | 0 |
| - | 0 |
| |
| 3 | 2 |
| - | 3 | 0 |
| |
| 2 | 5 |
| - | 2 | 5 |
| |
| 0 | 0 |
Step 7:
| 0 | 6 | 5 | 0 |
5 | ⟌ | 3 | 2 | 5 | 0 |
| - | 0 |
| |
| 3 | 2 |
| - | 3 | 0 |
| |
| 2 | 5 |
| - | 2 | 5 |
| |
| 0 | 0 |
| - | | 0 |
| |
| 0 |
Verdict
The division of 3,250 by 5 results in a quotient of 650 and a remainder of 0, meaning 5 goes into 3,250 Six Hundred And Fifty 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.