How to calculate 238 divided by 16 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 238 (the dividend) by 16 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 238 divided by 16 in decimal = 14.875
- 238 divided by 16 in fraction = 238/16
- 238 divided by 16 in percentage = 1,487.5%
What is the Quotient and Remainder of 238 divided by 16?
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 238 divided by 16 is 14, and the remainder is 14. Thus,
238 ÷ 16 = 14 R 14
When you divide Two Hundred And Thirty Eight by Sixteen, the quotient is Fourteen, and the remainder is Fourteen.
Let's calculate 238 divided by 16 using long division
Step 1:
1 | 6 | ⟌ | 2 | 3 | 8 |
Step 2:
0 | |||||
1 | 6 | ⟌ | 2 | 3 | 8 |
- | 0 | ||||
2 | 3 |
Step 3:
0 | 1 | ||||
1 | 6 | ⟌ | 2 | 3 | 8 |
- | 0 | ||||
2 | 3 | ||||
- | 1 | 6 | |||
7 |
Step 4:
0 | 1 | ||||
1 | 6 | ⟌ | 2 | 3 | 8 |
- | 0 | ||||
2 | 3 | ||||
- | 1 | 6 | |||
7 | 8 |
Step 5:
0 | 1 | 4 | ||||
1 | 6 | ⟌ | 2 | 3 | 8 | |
- | 0 | |||||
2 | 3 | |||||
- | 1 | 6 | ||||
7 | 8 | |||||
- | 6 | 4 | ||||
1 | 4 |
Verdict
The division of 238 by 16 results in a quotient of 14 and a remainder of 14, meaning 16 goes into 238 Fourteen times with 14 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.