How to calculate 5280 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 5,280 (the dividend) by 60 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 5,280 divided by 60 in decimal = 88
- 5,280 divided by 60 in fraction = 5,280/60
- 5,280 divided by 60 in percentage = 8,800%
What is the Quotient and Remainder of 5,280 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. In this case, however, since 5,280 is a multiple of 60, there should be no remainder.
The quotient of 5,280 divided by 60 is 88, and the remainder is 0. Thus,
5,280 ÷ 60 = 88 R 0
When you divide Five Thousand Two Hundred And Eighty by Sixty, the quotient is Eighty Eight, and the remainder is Zero.
Let's calculate 5,280 divided by 60 using long division
Step 1:
6 | 0 | ⟌ | 5 | 2 | 8 | 0 |
Step 2:
0 | ||||||
6 | 0 | ⟌ | 5 | 2 | 8 | 0 |
- | 0 | |||||
5 | 2 |
Step 3:
0 | 0 | |||||
6 | 0 | ⟌ | 5 | 2 | 8 | 0 |
- | 0 | |||||
5 | 2 | |||||
- | 0 | |||||
5 | 2 | 8 |
Step 4:
0 | 0 | 8 | ||||
6 | 0 | ⟌ | 5 | 2 | 8 | 0 |
- | 0 | |||||
5 | 2 | |||||
- | 0 | |||||
5 | 2 | 8 | ||||
- | 4 | 8 | 0 | |||
4 | 8 |
Step 5:
0 | 0 | 8 | ||||
6 | 0 | ⟌ | 5 | 2 | 8 | 0 |
- | 0 | |||||
5 | 2 | |||||
- | 0 | |||||
5 | 2 | 8 | ||||
- | 4 | 8 | 0 | |||
4 | 8 | 0 |
Step 6:
0 | 0 | 8 | 8 | ||||
6 | 0 | ⟌ | 5 | 2 | 8 | 0 | |
- | 0 | ||||||
5 | 2 | ||||||
- | 0 | ||||||
5 | 2 | 8 | |||||
- | 4 | 8 | 0 | ||||
4 | 8 | 0 | |||||
- | 4 | 8 | 0 | ||||
0 |
Verdict
The division of 5,280 by 60 results in a quotient of 88 and a remainder of 0, meaning 60 goes into 5,280 Eighty Eight 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.