How to calculate 350 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 350 (the dividend) by 17 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 350 divided by 17 in decimal = 20.588235294118
- 350 divided by 17 in fraction = 350/17
- 350 divided by 17 in percentage = 2,058.8235294118%
What is the Quotient and Remainder of 350 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.
The quotient of 350 divided by 17 is 20, and the remainder is 10. Thus,
350 ÷ 17 = 20 R 10
When you divide Three Hundred And Fifty by Seventeen, the quotient is Twenty, and the remainder is Ten.
Let's calculate 350 divided by 17 using long division
Step 1:
1 | 7 | ⟌ | 3 | 5 | 0 |
Step 2:
0 | |||||
1 | 7 | ⟌ | 3 | 5 | 0 |
- | 0 | ||||
3 | 5 |
Step 3:
0 | 2 | ||||
1 | 7 | ⟌ | 3 | 5 | 0 |
- | 0 | ||||
3 | 5 | ||||
- | 3 | 4 | |||
1 |
Step 4:
0 | 2 | ||||
1 | 7 | ⟌ | 3 | 5 | 0 |
- | 0 | ||||
3 | 5 | ||||
- | 3 | 4 | |||
1 | 0 |
Step 5:
0 | 2 | 0 | ||||
1 | 7 | ⟌ | 3 | 5 | 0 | |
- | 0 | |||||
3 | 5 | |||||
- | 3 | 4 | ||||
1 | 0 | |||||
- | 0 | |||||
1 | 0 |
Verdict
The division of 350 by 17 results in a quotient of 20 and a remainder of 10, meaning 17 goes into 350 Twenty 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.