How to calculate 1266 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 1,266 (the dividend) by 24 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 1,266 divided by 24 in decimal = 52.75
- 1,266 divided by 24 in fraction = 1,266/24
- 1,266 divided by 24 in percentage = 5,275%
What is the Quotient and Remainder of 1,266 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 1,266 divided by 24 is 52, and the remainder is 18. Thus,
1,266 ÷ 24 = 52 R 18
When you divide One Thousand Two Hundred And Sixty Six by Twenty Four, the quotient is Fifty Two, and the remainder is Eighteen.
Let's calculate 1,266 divided by 24 using long division
Step 1:
2 | 4 | ⟌ | 1 | 2 | 6 | 6 |
Step 2:
0 | ||||||
2 | 4 | ⟌ | 1 | 2 | 6 | 6 |
- | 0 | |||||
1 | 2 |
Step 3:
0 | 0 | |||||
2 | 4 | ⟌ | 1 | 2 | 6 | 6 |
- | 0 | |||||
1 | 2 | |||||
- | 0 | |||||
1 | 2 | 6 |
Step 4:
0 | 0 | 5 | ||||
2 | 4 | ⟌ | 1 | 2 | 6 | 6 |
- | 0 | |||||
1 | 2 | |||||
- | 0 | |||||
1 | 2 | 6 | ||||
- | 1 | 2 | 0 | |||
6 |
Step 5:
0 | 0 | 5 | ||||
2 | 4 | ⟌ | 1 | 2 | 6 | 6 |
- | 0 | |||||
1 | 2 | |||||
- | 0 | |||||
1 | 2 | 6 | ||||
- | 1 | 2 | 0 | |||
6 | 6 |
Step 6:
0 | 0 | 5 | 2 | ||||
2 | 4 | ⟌ | 1 | 2 | 6 | 6 | |
- | 0 | ||||||
1 | 2 | ||||||
- | 0 | ||||||
1 | 2 | 6 | |||||
- | 1 | 2 | 0 | ||||
6 | 6 | ||||||
- | 4 | 8 | |||||
1 | 8 |
Verdict
The division of 1,266 by 24 results in a quotient of 52 and a remainder of 18, meaning 24 goes into 1,266 Fifty Two times with 18 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.