How to calculate 3750 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 3,750 (the dividend) by 60 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 3,750 divided by 60 in decimal = 62.5
- 3,750 divided by 60 in fraction = 3,750/60
- 3,750 divided by 60 in percentage = 6,250%
What is the Quotient and Remainder of 3,750 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 3,750 divided by 60 is 62, and the remainder is 30. Thus,
3,750 ÷ 60 = 62 R 30
When you divide Three Thousand Seven Hundred And Fifty by Sixty, the quotient is Sixty Two, and the remainder is Thirty.
Let's calculate 3,750 divided by 60 using long division
Step 1:
6 | 0 | ⟌ | 3 | 7 | 5 | 0 |
Step 2:
0 | ||||||
6 | 0 | ⟌ | 3 | 7 | 5 | 0 |
- | 0 | |||||
3 | 7 |
Step 3:
0 | 0 | |||||
6 | 0 | ⟌ | 3 | 7 | 5 | 0 |
- | 0 | |||||
3 | 7 | |||||
- | 0 | |||||
3 | 7 | 5 |
Step 4:
0 | 0 | 6 | ||||
6 | 0 | ⟌ | 3 | 7 | 5 | 0 |
- | 0 | |||||
3 | 7 | |||||
- | 0 | |||||
3 | 7 | 5 | ||||
- | 3 | 6 | 0 | |||
1 | 5 |
Step 5:
0 | 0 | 6 | ||||
6 | 0 | ⟌ | 3 | 7 | 5 | 0 |
- | 0 | |||||
3 | 7 | |||||
- | 0 | |||||
3 | 7 | 5 | ||||
- | 3 | 6 | 0 | |||
1 | 5 | 0 |
Step 6:
0 | 0 | 6 | 2 | ||||
6 | 0 | ⟌ | 3 | 7 | 5 | 0 | |
- | 0 | ||||||
3 | 7 | ||||||
- | 0 | ||||||
3 | 7 | 5 | |||||
- | 3 | 6 | 0 | ||||
1 | 5 | 0 | |||||
- | 1 | 2 | 0 | ||||
3 | 0 |
Verdict
The division of 3,750 by 60 results in a quotient of 62 and a remainder of 30, meaning 60 goes into 3,750 Sixty Two 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.