How to calculate 1300 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 1,300 (the dividend) by 24 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 1,300 divided by 24 in decimal = 54.166666666667
- 1,300 divided by 24 in fraction = 1,300/24
- 1,300 divided by 24 in percentage = 5,416.6666666667%
What is the Quotient and Remainder of 1,300 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 1,300 divided by 24 is 54, and the remainder is 4. Thus,
1,300 ÷ 24 = 54 R 4
When you divide One Thousand Three Hundred by Twenty Four, the quotient is Fifty Four, and the remainder is Four.
Let's calculate 1,300 divided by 24 using long division
Step 1:
2 | 4 | ⟌ | 1 | 3 | 0 | 0 |
Step 2:
0 | ||||||
2 | 4 | ⟌ | 1 | 3 | 0 | 0 |
- | 0 | |||||
1 | 3 |
Step 3:
0 | 0 | |||||
2 | 4 | ⟌ | 1 | 3 | 0 | 0 |
- | 0 | |||||
1 | 3 | |||||
- | 0 | |||||
1 | 3 | 0 |
Step 4:
0 | 0 | 5 | ||||
2 | 4 | ⟌ | 1 | 3 | 0 | 0 |
- | 0 | |||||
1 | 3 | |||||
- | 0 | |||||
1 | 3 | 0 | ||||
- | 1 | 2 | 0 | |||
1 | 0 |
Step 5:
0 | 0 | 5 | ||||
2 | 4 | ⟌ | 1 | 3 | 0 | 0 |
- | 0 | |||||
1 | 3 | |||||
- | 0 | |||||
1 | 3 | 0 | ||||
- | 1 | 2 | 0 | |||
1 | 0 | 0 |
Step 6:
0 | 0 | 5 | 4 | ||||
2 | 4 | ⟌ | 1 | 3 | 0 | 0 | |
- | 0 | ||||||
1 | 3 | ||||||
- | 0 | ||||||
1 | 3 | 0 | |||||
- | 1 | 2 | 0 | ||||
1 | 0 | 0 | |||||
- | 9 | 6 | |||||
4 |
Verdict
The division of 1,300 by 24 results in a quotient of 54 and a remainder of 4, meaning 24 goes into 1,300 Fifty Four times with 4 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.