How to calculate 490 divided by 25 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 490 (the dividend) by 25 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 490 divided by 25 in decimal = 19.6
- 490 divided by 25 in fraction = 490/25
- 490 divided by 25 in percentage = 1,960%
What is the Quotient and Remainder of 490 divided by 25?
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 490 divided by 25 is 19, and the remainder is 15. Thus,
490 ÷ 25 = 19 R 15
When you divide Four Hundred And Ninety by Twenty Five, the quotient is Nineteen, and the remainder is Fifteen.
Let's calculate 490 divided by 25 using long division
Step 1:
2 | 5 | ⟌ | 4 | 9 | 0 |
Step 2:
0 | |||||
2 | 5 | ⟌ | 4 | 9 | 0 |
- | 0 | ||||
4 | 9 |
Step 3:
0 | 1 | ||||
2 | 5 | ⟌ | 4 | 9 | 0 |
- | 0 | ||||
4 | 9 | ||||
- | 2 | 5 | |||
2 | 4 |
Step 4:
0 | 1 | ||||
2 | 5 | ⟌ | 4 | 9 | 0 |
- | 0 | ||||
4 | 9 | ||||
- | 2 | 5 | |||
2 | 4 | 0 |
Step 5:
0 | 1 | 9 | ||||
2 | 5 | ⟌ | 4 | 9 | 0 | |
- | 0 | |||||
4 | 9 | |||||
- | 2 | 5 | ||||
2 | 4 | 0 | ||||
- | 2 | 2 | 5 | |||
1 | 5 |
Verdict
The division of 490 by 25 results in a quotient of 19 and a remainder of 15, meaning 25 goes into 490 Nineteen times with 15 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.