How to calculate 564 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 564 (the dividend) by 24 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 564 divided by 24 in decimal = 23.5
- 564 divided by 24 in fraction = 564/24
- 564 divided by 24 in percentage = 2,350%
What is the Quotient and Remainder of 564 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 564 divided by 24 is 23, and the remainder is 12. Thus,
564 ÷ 24 = 23 R 12
When you divide Five Hundred And Sixty Four by Twenty Four, the quotient is Twenty Three, and the remainder is Twelve.
Let's calculate 564 divided by 24 using long division
Step 1:
2 | 4 | ⟌ | 5 | 6 | 4 |
Step 2:
0 | |||||
2 | 4 | ⟌ | 5 | 6 | 4 |
- | 0 | ||||
5 | 6 |
Step 3:
0 | 2 | ||||
2 | 4 | ⟌ | 5 | 6 | 4 |
- | 0 | ||||
5 | 6 | ||||
- | 4 | 8 | |||
8 |
Step 4:
0 | 2 | ||||
2 | 4 | ⟌ | 5 | 6 | 4 |
- | 0 | ||||
5 | 6 | ||||
- | 4 | 8 | |||
8 | 4 |
Step 5:
0 | 2 | 3 | ||||
2 | 4 | ⟌ | 5 | 6 | 4 | |
- | 0 | |||||
5 | 6 | |||||
- | 4 | 8 | ||||
8 | 4 | |||||
- | 7 | 2 | ||||
1 | 2 |
Verdict
The division of 564 by 24 results in a quotient of 23 and a remainder of 12, meaning 24 goes into 564 Twenty Three times with 12 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.