How to calculate 1104 divided by 48 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 1,104 (the dividend) by 48 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 1,104 divided by 48 in decimal = 23
- 1,104 divided by 48 in fraction = 1,104/48
- 1,104 divided by 48 in percentage = 2,300%
What is the Quotient and Remainder of 1,104 divided by 48?
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. In this case, however, since 1,104 is a multiple of 48, there should be no remainder.
The quotient of 1,104 divided by 48 is 23, and the remainder is 0. Thus,
1,104 ÷ 48 = 23 R 0
When you divide One Thousand One Hundred And Four by Forty Eight, the quotient is Twenty Three, and the remainder is Zero.
Let's calculate 1,104 divided by 48 using long division
Step 1:
4 | 8 | ⟌ | 1 | 1 | 0 | 4 |
Step 2:
0 | ||||||
4 | 8 | ⟌ | 1 | 1 | 0 | 4 |
- | 0 | |||||
1 | 1 |
Step 3:
0 | 0 | |||||
4 | 8 | ⟌ | 1 | 1 | 0 | 4 |
- | 0 | |||||
1 | 1 | |||||
- | 0 | |||||
1 | 1 | 0 |
Step 4:
0 | 0 | 2 | ||||
4 | 8 | ⟌ | 1 | 1 | 0 | 4 |
- | 0 | |||||
1 | 1 | |||||
- | 0 | |||||
1 | 1 | 0 | ||||
- | 9 | 6 | ||||
1 | 4 |
Step 5:
0 | 0 | 2 | ||||
4 | 8 | ⟌ | 1 | 1 | 0 | 4 |
- | 0 | |||||
1 | 1 | |||||
- | 0 | |||||
1 | 1 | 0 | ||||
- | 9 | 6 | ||||
1 | 4 | 4 |
Step 6:
0 | 0 | 2 | 3 | ||||
4 | 8 | ⟌ | 1 | 1 | 0 | 4 | |
- | 0 | ||||||
1 | 1 | ||||||
- | 0 | ||||||
1 | 1 | 0 | |||||
- | 9 | 6 | |||||
1 | 4 | 4 | |||||
- | 1 | 4 | 4 | ||||
0 |
Verdict
The division of 1,104 by 48 results in a quotient of 23 and a remainder of 0, meaning 48 goes into 1,104 Twenty Three times with 0 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.