How to calculate 221 divided by 17 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 221 (the dividend) by 17 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 221 divided by 17 in decimal = 13
- 221 divided by 17 in fraction = 221/17
- 221 divided by 17 in percentage = 1,300%
What is the Quotient and Remainder of 221 divided by 17?
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 221 is a multiple of 17, there should be no remainder.
The quotient of 221 divided by 17 is 13, and the remainder is 0. Thus,
221 ÷ 17 = 13 R 0
When you divide Two Hundred And Twenty One by Seventeen, the quotient is Thirteen, and the remainder is Zero.
Let's calculate 221 divided by 17 using long division
Step 1:
1 | 7 | ⟌ | 2 | 2 | 1 |
Step 2:
0 | |||||
1 | 7 | ⟌ | 2 | 2 | 1 |
- | 0 | ||||
2 | 2 |
Step 3:
0 | 1 | ||||
1 | 7 | ⟌ | 2 | 2 | 1 |
- | 0 | ||||
2 | 2 | ||||
- | 1 | 7 | |||
5 |
Step 4:
0 | 1 | ||||
1 | 7 | ⟌ | 2 | 2 | 1 |
- | 0 | ||||
2 | 2 | ||||
- | 1 | 7 | |||
5 | 1 |
Step 5:
0 | 1 | 3 | ||||
1 | 7 | ⟌ | 2 | 2 | 1 | |
- | 0 | |||||
2 | 2 | |||||
- | 1 | 7 | ||||
5 | 1 | |||||
- | 5 | 1 | ||||
0 |
Verdict
The division of 221 by 17 results in a quotient of 13 and a remainder of 0, meaning 17 goes into 221 Thirteen 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.