How to calculate 390 divided by 20 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 20 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 390 divided by 20 in decimal = 19.5
- 390 divided by 20 in fraction = 390/20
- 390 divided by 20 in percentage = 1,950%
What is the Quotient and Remainder of 390 divided by 20?
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 390 divided by 20 is 19, and the remainder is 10. Thus,
390 ÷ 20 = 19 R 10
When you divide Three Hundred And Ninety by Twenty, the quotient is Nineteen, and the remainder is Ten.
Let's calculate 390 divided by 20 using long division
Step 1:
2 | 0 | ⟌ | 3 | 9 | 0 |
Step 2:
0 | |||||
2 | 0 | ⟌ | 3 | 9 | 0 |
- | 0 | ||||
3 | 9 |
Step 3:
0 | 1 | ||||
2 | 0 | ⟌ | 3 | 9 | 0 |
- | 0 | ||||
3 | 9 | ||||
- | 2 | 0 | |||
1 | 9 |
Step 4:
0 | 1 | ||||
2 | 0 | ⟌ | 3 | 9 | 0 |
- | 0 | ||||
3 | 9 | ||||
- | 2 | 0 | |||
1 | 9 | 0 |
Step 5:
0 | 1 | 9 | ||||
2 | 0 | ⟌ | 3 | 9 | 0 | |
- | 0 | |||||
3 | 9 | |||||
- | 2 | 0 | ||||
1 | 9 | 0 | ||||
- | 1 | 8 | 0 | |||
1 | 0 |
Verdict
The division of 390 by 20 results in a quotient of 19 and a remainder of 10, meaning 20 goes into 390 Nineteen 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.