How to calculate 138 divided by 38 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 38 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 138 divided by 38 in decimal = 3.6315789473684
- 138 divided by 38 in fraction = 138/38
- 138 divided by 38 in percentage = 363.15789473684%
What is the Quotient and Remainder of 138 divided by 38?
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 138 divided by 38 is 3, and the remainder is 24. Thus,
138 ÷ 38 = 3 R 24
When you divide One Hundred And Thirty Eight by Thirty Eight, the quotient is Three, and the remainder is Twenty Four.
Let's calculate 138 divided by 38 using long division
Step 1:
3 | 8 | ⟌ | 1 | 3 | 8 |
Step 2:
0 | |||||
3 | 8 | ⟌ | 1 | 3 | 8 |
- | 0 | ||||
1 | 3 |
Step 3:
0 | 0 | ||||
3 | 8 | ⟌ | 1 | 3 | 8 |
- | 0 | ||||
1 | 3 | ||||
- | 0 | ||||
1 | 3 |
Step 4:
0 | 0 | ||||
3 | 8 | ⟌ | 1 | 3 | 8 |
- | 0 | ||||
1 | 3 | ||||
- | 0 | ||||
1 | 3 | 8 |
Step 5:
0 | 0 | 3 | ||||
3 | 8 | ⟌ | 1 | 3 | 8 | |
- | 0 | |||||
1 | 3 | |||||
- | 0 | |||||
1 | 3 | 8 | ||||
- | 1 | 1 | 4 | |||
2 | 4 |
Verdict
The division of 138 by 38 results in a quotient of 3 and a remainder of 24, meaning 38 goes into 138 Three times with 24 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.