How to calculate 990 divided by 3 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 990 (the dividend) by 3 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 990 divided by 3 in decimal = 330
- 990 divided by 3 in fraction = 990/3
- 990 divided by 3 in percentage = 33,000%
What is the Quotient and Remainder of 990 divided by 3?
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 990 is a multiple of 3, there should be no remainder.
The quotient of 990 divided by 3 is 330, and the remainder is 0. Thus,
990 ÷ 3 = 330 R 0
When you divide Nine Hundred And Ninety by Three, the quotient is Three Hundred And Thirty, and the remainder is Zero.
Let's calculate 990 divided by 3 using long division
Step 1:
3 | ⟌ | 9 | 9 | 0 |
Step 2:
3 | ||||
3 | ⟌ | 9 | 9 | 0 |
- | 9 | |||
0 |
Step 3:
3 | ||||
3 | ⟌ | 9 | 9 | 0 |
- | 9 | |||
0 | 9 |
Step 4:
3 | 3 | |||
3 | ⟌ | 9 | 9 | 0 |
- | 9 | |||
0 | 9 | |||
- | 9 | |||
0 |
Step 5:
3 | 3 | |||
3 | ⟌ | 9 | 9 | 0 |
- | 9 | |||
0 | 9 | |||
- | 9 | |||
0 | 0 |
Step 6:
3 | 3 | 0 | |||
3 | ⟌ | 9 | 9 | 0 | |
- | 9 | ||||
0 | 9 | ||||
- | 9 | ||||
0 | 0 | ||||
- | 0 | ||||
0 |
Verdict
The division of 990 by 3 results in a quotient of 330 and a remainder of 0, meaning 3 goes into 990 Three Hundred And 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.