How to calculate 1258 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 1,258 (the dividend) by 24 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 1,258 divided by 24 in decimal = 52.416666666667
- 1,258 divided by 24 in fraction = 1,258/24
- 1,258 divided by 24 in percentage = 5,241.6666666667%
What is the Quotient and Remainder of 1,258 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 1,258 divided by 24 is 52, and the remainder is 10. Thus,
1,258 ÷ 24 = 52 R 10
When you divide One Thousand Two Hundred And Fifty Eight by Twenty Four, the quotient is Fifty Two, and the remainder is Ten.
Let's calculate 1,258 divided by 24 using long division
Step 1:
2 | 4 | ⟌ | 1 | 2 | 5 | 8 |
Step 2:
0 | ||||||
2 | 4 | ⟌ | 1 | 2 | 5 | 8 |
- | 0 | |||||
1 | 2 |
Step 3:
0 | 0 | |||||
2 | 4 | ⟌ | 1 | 2 | 5 | 8 |
- | 0 | |||||
1 | 2 | |||||
- | 0 | |||||
1 | 2 | 5 |
Step 4:
0 | 0 | 5 | ||||
2 | 4 | ⟌ | 1 | 2 | 5 | 8 |
- | 0 | |||||
1 | 2 | |||||
- | 0 | |||||
1 | 2 | 5 | ||||
- | 1 | 2 | 0 | |||
5 |
Step 5:
0 | 0 | 5 | ||||
2 | 4 | ⟌ | 1 | 2 | 5 | 8 |
- | 0 | |||||
1 | 2 | |||||
- | 0 | |||||
1 | 2 | 5 | ||||
- | 1 | 2 | 0 | |||
5 | 8 |
Step 6:
0 | 0 | 5 | 2 | ||||
2 | 4 | ⟌ | 1 | 2 | 5 | 8 | |
- | 0 | ||||||
1 | 2 | ||||||
- | 0 | ||||||
1 | 2 | 5 | |||||
- | 1 | 2 | 0 | ||||
5 | 8 | ||||||
- | 4 | 8 | |||||
1 | 0 |
Verdict
The division of 1,258 by 24 results in a quotient of 52 and a remainder of 10, meaning 24 goes into 1,258 Fifty Two times with 10 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.