How to calculate 170 divided by 30 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 170 (the dividend) by 30 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 170 divided by 30 in decimal = 5.6666666666667
- 170 divided by 30 in fraction = 170/30
- 170 divided by 30 in percentage = 566.66666666667%
What is the Quotient and Remainder of 170 divided by 30?
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 170 divided by 30 is 5, and the remainder is 20. Thus,
170 ÷ 30 = 5 R 20
When you divide One Hundred And Seventy by Thirty, the quotient is Five, and the remainder is Twenty.
Let's calculate 170 divided by 30 using long division
Step 1:
3 | 0 | ⟌ | 1 | 7 | 0 |
Step 2:
0 | |||||
3 | 0 | ⟌ | 1 | 7 | 0 |
- | 0 | ||||
1 | 7 |
Step 3:
0 | 0 | ||||
3 | 0 | ⟌ | 1 | 7 | 0 |
- | 0 | ||||
1 | 7 | ||||
- | 0 | ||||
1 | 7 |
Step 4:
0 | 0 | ||||
3 | 0 | ⟌ | 1 | 7 | 0 |
- | 0 | ||||
1 | 7 | ||||
- | 0 | ||||
1 | 7 | 0 |
Step 5:
0 | 0 | 5 | ||||
3 | 0 | ⟌ | 1 | 7 | 0 | |
- | 0 | |||||
1 | 7 | |||||
- | 0 | |||||
1 | 7 | 0 | ||||
- | 1 | 5 | 0 | |||
2 | 0 |
Verdict
The division of 170 by 30 results in a quotient of 5 and a remainder of 20, meaning 30 goes into 170 Five times with 20 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.