How to calculate 390 divided by 13 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 390 (the dividend) by 13 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 390 divided by 13 in decimal = 30
- 390 divided by 13 in fraction = 390/13
- 390 divided by 13 in percentage = 3,000%
What is the Quotient and Remainder of 390 divided by 13?
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 390 is a multiple of 13, there should be no remainder.
The quotient of 390 divided by 13 is 30, and the remainder is 0. Thus,
390 ÷ 13 = 30 R 0
When you divide Three Hundred And Ninety by Thirteen, the quotient is Thirty, and the remainder is Zero.
Let's calculate 390 divided by 13 using long division
Step 1:
1 | 3 | ⟌ | 3 | 9 | 0 |
Step 2:
0 | |||||
1 | 3 | ⟌ | 3 | 9 | 0 |
- | 0 | ||||
3 | 9 |
Step 3:
0 | 3 | ||||
1 | 3 | ⟌ | 3 | 9 | 0 |
- | 0 | ||||
3 | 9 | ||||
- | 3 | 9 | |||
0 |
Step 4:
0 | 3 | ||||
1 | 3 | ⟌ | 3 | 9 | 0 |
- | 0 | ||||
3 | 9 | ||||
- | 3 | 9 | |||
0 | 0 |
Step 5:
0 | 3 | 0 | ||||
1 | 3 | ⟌ | 3 | 9 | 0 | |
- | 0 | |||||
3 | 9 | |||||
- | 3 | 9 | ||||
0 | 0 | |||||
- | 0 | |||||
0 |
Verdict
The division of 390 by 13 results in a quotient of 30 and a remainder of 0, meaning 13 goes into 390 Thirty 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.