How to calculate 153 divided by 3 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 153 (the dividend) by 3 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 153 divided by 3 in decimal = 51
- 153 divided by 3 in fraction = 153/3
- 153 divided by 3 in percentage = 5,100%
What is the Quotient and Remainder of 153 divided by 3?
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 153 is a multiple of 3, there should be no remainder.
The quotient of 153 divided by 3 is 51, and the remainder is 0. Thus,
153 ÷ 3 = 51 R 0
When you divide One Hundred And Fifty Three by Three, the quotient is Fifty One, and the remainder is Zero.
Let's calculate 153 divided by 3 using long division
Step 1:
3 | ⟌ | 1 | 5 | 3 |
Step 2:
0 | ||||
3 | ⟌ | 1 | 5 | 3 |
- | 0 | |||
1 | 5 |
Step 3:
0 | 5 | |||
3 | ⟌ | 1 | 5 | 3 |
- | 0 | |||
1 | 5 | |||
- | 1 | 5 | ||
0 |
Step 4:
0 | 5 | |||
3 | ⟌ | 1 | 5 | 3 |
- | 0 | |||
1 | 5 | |||
- | 1 | 5 | ||
0 | 3 |
Step 5:
0 | 5 | 1 | |||
3 | ⟌ | 1 | 5 | 3 | |
- | 0 | ||||
1 | 5 | ||||
- | 1 | 5 | |||
0 | 3 | ||||
- | 3 | ||||
0 |
Verdict
The division of 153 by 3 results in a quotient of 51 and a remainder of 0, meaning 3 goes into 153 Fifty One 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.