How to calculate 150 divided by 14 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 150 (the dividend) by 14 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 150 divided by 14 in decimal = 10.714285714286
- 150 divided by 14 in fraction = 150/14
- 150 divided by 14 in percentage = 1,071.4285714286%
What is the Quotient and Remainder of 150 divided by 14?
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 150 divided by 14 is 10, and the remainder is 10. Thus,
150 ÷ 14 = 10 R 10
When you divide One Hundred And Fifty by Fourteen, the quotient is Ten, and the remainder is Ten.
Let's calculate 150 divided by 14 using long division
Step 1:
1 | 4 | ⟌ | 1 | 5 | 0 |
Step 2:
0 | |||||
1 | 4 | ⟌ | 1 | 5 | 0 |
- | 0 | ||||
1 | 5 |
Step 3:
0 | 1 | ||||
1 | 4 | ⟌ | 1 | 5 | 0 |
- | 0 | ||||
1 | 5 | ||||
- | 1 | 4 | |||
1 |
Step 4:
0 | 1 | ||||
1 | 4 | ⟌ | 1 | 5 | 0 |
- | 0 | ||||
1 | 5 | ||||
- | 1 | 4 | |||
1 | 0 |
Step 5:
0 | 1 | 0 | ||||
1 | 4 | ⟌ | 1 | 5 | 0 | |
- | 0 | |||||
1 | 5 | |||||
- | 1 | 4 | ||||
1 | 0 | |||||
- | 0 | |||||
1 | 0 |
Verdict
The division of 150 by 14 results in a quotient of 10 and a remainder of 10, meaning 14 goes into 150 Ten times with 10 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.