How to calculate 1290 divided by 60 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 1,290 (the dividend) by 60 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 1,290 divided by 60 in decimal = 21.5
- 1,290 divided by 60 in fraction = 1,290/60
- 1,290 divided by 60 in percentage = 2,150%
What is the Quotient and Remainder of 1,290 divided by 60?
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 1,290 divided by 60 is 21, and the remainder is 30. Thus,
1,290 ÷ 60 = 21 R 30
When you divide One Thousand Two Hundred And Ninety by Sixty, the quotient is Twenty One, and the remainder is Thirty.
Let's calculate 1,290 divided by 60 using long division
Step 1:
6 | 0 | ⟌ | 1 | 2 | 9 | 0 |
Step 2:
0 | ||||||
6 | 0 | ⟌ | 1 | 2 | 9 | 0 |
- | 0 | |||||
1 | 2 |
Step 3:
0 | 0 | |||||
6 | 0 | ⟌ | 1 | 2 | 9 | 0 |
- | 0 | |||||
1 | 2 | |||||
- | 0 | |||||
1 | 2 | 9 |
Step 4:
0 | 0 | 2 | ||||
6 | 0 | ⟌ | 1 | 2 | 9 | 0 |
- | 0 | |||||
1 | 2 | |||||
- | 0 | |||||
1 | 2 | 9 | ||||
- | 1 | 2 | 0 | |||
9 |
Step 5:
0 | 0 | 2 | ||||
6 | 0 | ⟌ | 1 | 2 | 9 | 0 |
- | 0 | |||||
1 | 2 | |||||
- | 0 | |||||
1 | 2 | 9 | ||||
- | 1 | 2 | 0 | |||
9 | 0 |
Step 6:
0 | 0 | 2 | 1 | ||||
6 | 0 | ⟌ | 1 | 2 | 9 | 0 | |
- | 0 | ||||||
1 | 2 | ||||||
- | 0 | ||||||
1 | 2 | 9 | |||||
- | 1 | 2 | 0 | ||||
9 | 0 | ||||||
- | 6 | 0 | |||||
3 | 0 |
Verdict
The division of 1,290 by 60 results in a quotient of 21 and a remainder of 30, meaning 60 goes into 1,290 Twenty One times with 30 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.