How to calculate 975 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 975 (the dividend) by 17 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 975 divided by 17 in decimal = 57.352941176471
- 975 divided by 17 in fraction = 975/17
- 975 divided by 17 in percentage = 5,735.2941176471%
What is the Quotient and Remainder of 975 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 975 divided by 17 is 57, and the remainder is 6. Thus,
975 ÷ 17 = 57 R 6
When you divide Nine Hundred And Seventy Five by Seventeen, the quotient is Fifty Seven, and the remainder is Six.
Let's calculate 975 divided by 17 using long division
Step 1:
1 | 7 | ⟌ | 9 | 7 | 5 |
Step 2:
0 | |||||
1 | 7 | ⟌ | 9 | 7 | 5 |
- | 0 | ||||
9 | 7 |
Step 3:
0 | 5 | ||||
1 | 7 | ⟌ | 9 | 7 | 5 |
- | 0 | ||||
9 | 7 | ||||
- | 8 | 5 | |||
1 | 2 |
Step 4:
0 | 5 | ||||
1 | 7 | ⟌ | 9 | 7 | 5 |
- | 0 | ||||
9 | 7 | ||||
- | 8 | 5 | |||
1 | 2 | 5 |
Step 5:
0 | 5 | 7 | ||||
1 | 7 | ⟌ | 9 | 7 | 5 | |
- | 0 | |||||
9 | 7 | |||||
- | 8 | 5 | ||||
1 | 2 | 5 | ||||
- | 1 | 1 | 9 | |||
6 |
Verdict
The division of 975 by 17 results in a quotient of 57 and a remainder of 6, meaning 17 goes into 975 Fifty Seven times with 6 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.