How to calculate 310 divided by 60 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 310 (the dividend) by 60 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 310 divided by 60 in decimal = 5.1666666666667
- 310 divided by 60 in fraction = 310/60
- 310 divided by 60 in percentage = 516.66666666667%
What is the Quotient and Remainder of 310 divided by 60?
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 310 divided by 60 is 5, and the remainder is 10. Thus,
310 ÷ 60 = 5 R 10
When you divide Three Hundred And Ten by Sixty, the quotient is Five, and the remainder is Ten.
Let's calculate 310 divided by 60 using long division
Step 1:
6 | 0 | ⟌ | 3 | 1 | 0 |
Step 2:
0 | |||||
6 | 0 | ⟌ | 3 | 1 | 0 |
- | 0 | ||||
3 | 1 |
Step 3:
0 | 0 | ||||
6 | 0 | ⟌ | 3 | 1 | 0 |
- | 0 | ||||
3 | 1 | ||||
- | 0 | ||||
3 | 1 |
Step 4:
0 | 0 | ||||
6 | 0 | ⟌ | 3 | 1 | 0 |
- | 0 | ||||
3 | 1 | ||||
- | 0 | ||||
3 | 1 | 0 |
Step 5:
0 | 0 | 5 | ||||
6 | 0 | ⟌ | 3 | 1 | 0 | |
- | 0 | |||||
3 | 1 | |||||
- | 0 | |||||
3 | 1 | 0 | ||||
- | 3 | 0 | 0 | |||
1 | 0 |
Verdict
The division of 310 by 60 results in a quotient of 5 and a remainder of 10, meaning 60 goes into 310 Five 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.