How to calculate 144 divided by 6 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 144 (the dividend) by 6 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 144 divided by 6 in decimal = 24
- 144 divided by 6 in fraction = 144/6
- 144 divided by 6 in percentage = 2,400%
What is the Quotient and Remainder of 144 divided by 6?
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 144 is a multiple of 6, there should be no remainder.
The quotient of 144 divided by 6 is 24, and the remainder is 0. Thus,
144 ÷ 6 = 24 R 0
When you divide One Hundred And Forty Four by Six, the quotient is Twenty Four, and the remainder is Zero.
Let's calculate 144 divided by 6 using long division
Step 1:
6 | ⟌ | 1 | 4 | 4 |
Step 2:
0 | ||||
6 | ⟌ | 1 | 4 | 4 |
- | 0 | |||
1 | 4 |
Step 3:
0 | 2 | |||
6 | ⟌ | 1 | 4 | 4 |
- | 0 | |||
1 | 4 | |||
- | 1 | 2 | ||
2 |
Step 4:
0 | 2 | |||
6 | ⟌ | 1 | 4 | 4 |
- | 0 | |||
1 | 4 | |||
- | 1 | 2 | ||
2 | 4 |
Step 5:
0 | 2 | 4 | |||
6 | ⟌ | 1 | 4 | 4 | |
- | 0 | ||||
1 | 4 | ||||
- | 1 | 2 | |||
2 | 4 | ||||
- | 2 | 4 | |||
0 |
Verdict
The division of 144 by 6 results in a quotient of 24 and a remainder of 0, meaning 6 goes into 144 Twenty Four 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.