How to calculate 138 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 138 (the dividend) by 3 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 138 divided by 3 in decimal = 46
- 138 divided by 3 in fraction = 138/3
- 138 divided by 3 in percentage = 4,600%
What is the Quotient and Remainder of 138 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 138 is a multiple of 3, there should be no remainder.
The quotient of 138 divided by 3 is 46, and the remainder is 0. Thus,
138 ÷ 3 = 46 R 0
When you divide One Hundred And Thirty Eight by Three, the quotient is Forty Six, and the remainder is Zero.
Let's calculate 138 divided by 3 using long division
Step 1:
3 | ⟌ | 1 | 3 | 8 |
Step 2:
0 | ||||
3 | ⟌ | 1 | 3 | 8 |
- | 0 | |||
1 | 3 |
Step 3:
0 | 4 | |||
3 | ⟌ | 1 | 3 | 8 |
- | 0 | |||
1 | 3 | |||
- | 1 | 2 | ||
1 |
Step 4:
0 | 4 | |||
3 | ⟌ | 1 | 3 | 8 |
- | 0 | |||
1 | 3 | |||
- | 1 | 2 | ||
1 | 8 |
Step 5:
0 | 4 | 6 | |||
3 | ⟌ | 1 | 3 | 8 | |
- | 0 | ||||
1 | 3 | ||||
- | 1 | 2 | |||
1 | 8 | ||||
- | 1 | 8 | |||
0 |
Verdict
The division of 138 by 3 results in a quotient of 46 and a remainder of 0, meaning 3 goes into 138 Forty Six 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.