How to calculate 675 divided by 24 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 675 (the dividend) by 24 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 675 divided by 24 in decimal = 28.125
- 675 divided by 24 in fraction = 675/24
- 675 divided by 24 in percentage = 2,812.5%
What is the Quotient and Remainder of 675 divided by 24?
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 675 divided by 24 is 28, and the remainder is 3. Thus,
675 ÷ 24 = 28 R 3
When you divide Six Hundred And Seventy Five by Twenty Four, the quotient is Twenty Eight, and the remainder is Three.
Let's calculate 675 divided by 24 using long division
Step 1:
2 | 4 | ⟌ | 6 | 7 | 5 |
Step 2:
0 | |||||
2 | 4 | ⟌ | 6 | 7 | 5 |
- | 0 | ||||
6 | 7 |
Step 3:
0 | 2 | ||||
2 | 4 | ⟌ | 6 | 7 | 5 |
- | 0 | ||||
6 | 7 | ||||
- | 4 | 8 | |||
1 | 9 |
Step 4:
0 | 2 | ||||
2 | 4 | ⟌ | 6 | 7 | 5 |
- | 0 | ||||
6 | 7 | ||||
- | 4 | 8 | |||
1 | 9 | 5 |
Step 5:
0 | 2 | 8 | ||||
2 | 4 | ⟌ | 6 | 7 | 5 | |
- | 0 | |||||
6 | 7 | |||||
- | 4 | 8 | ||||
1 | 9 | 5 | ||||
- | 1 | 9 | 2 | |||
3 |
Verdict
The division of 675 by 24 results in a quotient of 28 and a remainder of 3, meaning 24 goes into 675 Twenty Eight times with 3 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.