How to calculate 173 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 173 (the dividend) by 16 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 173 divided by 16 in decimal = 10.8125
- 173 divided by 16 in fraction = 173/16
- 173 divided by 16 in percentage = 1,081.25%
What is the Quotient and Remainder of 173 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 173 divided by 16 is 10, and the remainder is 13. Thus,
173 ÷ 16 = 10 R 13
When you divide One Hundred And Seventy Three by Sixteen, the quotient is Ten, and the remainder is Thirteen.
Let's calculate 173 divided by 16 using long division
Step 1:
1 | 6 | ⟌ | 1 | 7 | 3 |
Step 2:
0 | |||||
1 | 6 | ⟌ | 1 | 7 | 3 |
- | 0 | ||||
1 | 7 |
Step 3:
0 | 1 | ||||
1 | 6 | ⟌ | 1 | 7 | 3 |
- | 0 | ||||
1 | 7 | ||||
- | 1 | 6 | |||
1 |
Step 4:
0 | 1 | ||||
1 | 6 | ⟌ | 1 | 7 | 3 |
- | 0 | ||||
1 | 7 | ||||
- | 1 | 6 | |||
1 | 3 |
Step 5:
0 | 1 | 0 | ||||
1 | 6 | ⟌ | 1 | 7 | 3 | |
- | 0 | |||||
1 | 7 | |||||
- | 1 | 6 | ||||
1 | 3 | |||||
- | 0 | |||||
1 | 3 |
Verdict
The division of 173 by 16 results in a quotient of 10 and a remainder of 13, meaning 16 goes into 173 Ten times with 13 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.