How to calculate 320 divided by 45 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 320 (the dividend) by 45 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 320 divided by 45 in decimal = 7.1111111111111
- 320 divided by 45 in fraction = 320/45
- 320 divided by 45 in percentage = 711.11111111111%
What is the Quotient and Remainder of 320 divided by 45?
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 320 divided by 45 is 7, and the remainder is 5. Thus,
320 ÷ 45 = 7 R 5
When you divide Three Hundred And Twenty by Forty Five, the quotient is Seven, and the remainder is Five.
Let's calculate 320 divided by 45 using long division
Step 1:
4 | 5 | ⟌ | 3 | 2 | 0 |
Step 2:
0 | |||||
4 | 5 | ⟌ | 3 | 2 | 0 |
- | 0 | ||||
3 | 2 |
Step 3:
0 | 0 | ||||
4 | 5 | ⟌ | 3 | 2 | 0 |
- | 0 | ||||
3 | 2 | ||||
- | 0 | ||||
3 | 2 |
Step 4:
0 | 0 | ||||
4 | 5 | ⟌ | 3 | 2 | 0 |
- | 0 | ||||
3 | 2 | ||||
- | 0 | ||||
3 | 2 | 0 |
Step 5:
0 | 0 | 7 | ||||
4 | 5 | ⟌ | 3 | 2 | 0 | |
- | 0 | |||||
3 | 2 | |||||
- | 0 | |||||
3 | 2 | 0 | ||||
- | 3 | 1 | 5 | |||
5 |
Verdict
The division of 320 by 45 results in a quotient of 7 and a remainder of 5, meaning 45 goes into 320 Seven times with 5 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.