How to calculate 733 divided by 5 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 733 (the dividend) by 5 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 733 divided by 5 in decimal = 146.6
- 733 divided by 5 in fraction = 733/5
- 733 divided by 5 in percentage = 14,660%
What is the Quotient and Remainder of 733 divided by 5?
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 733 divided by 5 is 146, and the remainder is 3. Thus,
733 ÷ 5 = 146 R 3
When you divide Seven Hundred And Thirty Three by Five, the quotient is One Hundred And Forty Six, and the remainder is Three.
Let's calculate 733 divided by 5 using long division
Step 1:
5 | ⟌ | 7 | 3 | 3 |
Step 2:
1 | ||||
5 | ⟌ | 7 | 3 | 3 |
- | 5 | |||
2 |
Step 3:
1 | ||||
5 | ⟌ | 7 | 3 | 3 |
- | 5 | |||
2 | 3 |
Step 4:
1 | 4 | |||
5 | ⟌ | 7 | 3 | 3 |
- | 5 | |||
2 | 3 | |||
- | 2 | 0 | ||
3 |
Step 5:
1 | 4 | |||
5 | ⟌ | 7 | 3 | 3 |
- | 5 | |||
2 | 3 | |||
- | 2 | 0 | ||
3 | 3 |
Step 6:
1 | 4 | 6 | |||
5 | ⟌ | 7 | 3 | 3 | |
- | 5 | ||||
2 | 3 | ||||
- | 2 | 0 | |||
3 | 3 | ||||
- | 3 | 0 | |||
3 |
Verdict
The division of 733 by 5 results in a quotient of 146 and a remainder of 3, meaning 5 goes into 733 One Hundred And Forty Six times with 3 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.