How to calculate 1375 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 1,375 (the dividend) by 60 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 1,375 divided by 60 in decimal = 22.916666666667
- 1,375 divided by 60 in fraction = 1,375/60
- 1,375 divided by 60 in percentage = 2,291.6666666667%
What is the Quotient and Remainder of 1,375 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 1,375 divided by 60 is 22, and the remainder is 55. Thus,
1,375 ÷ 60 = 22 R 55
When you divide One Thousand Three Hundred And Seventy Five by Sixty, the quotient is Twenty Two, and the remainder is Fifty Five.
Let's calculate 1,375 divided by 60 using long division
Step 1:
6 | 0 | ⟌ | 1 | 3 | 7 | 5 |
Step 2:
0 | ||||||
6 | 0 | ⟌ | 1 | 3 | 7 | 5 |
- | 0 | |||||
1 | 3 |
Step 3:
0 | 0 | |||||
6 | 0 | ⟌ | 1 | 3 | 7 | 5 |
- | 0 | |||||
1 | 3 | |||||
- | 0 | |||||
1 | 3 | 7 |
Step 4:
0 | 0 | 2 | ||||
6 | 0 | ⟌ | 1 | 3 | 7 | 5 |
- | 0 | |||||
1 | 3 | |||||
- | 0 | |||||
1 | 3 | 7 | ||||
- | 1 | 2 | 0 | |||
1 | 7 |
Step 5:
0 | 0 | 2 | ||||
6 | 0 | ⟌ | 1 | 3 | 7 | 5 |
- | 0 | |||||
1 | 3 | |||||
- | 0 | |||||
1 | 3 | 7 | ||||
- | 1 | 2 | 0 | |||
1 | 7 | 5 |
Step 6:
0 | 0 | 2 | 2 | ||||
6 | 0 | ⟌ | 1 | 3 | 7 | 5 | |
- | 0 | ||||||
1 | 3 | ||||||
- | 0 | ||||||
1 | 3 | 7 | |||||
- | 1 | 2 | 0 | ||||
1 | 7 | 5 | |||||
- | 1 | 2 | 0 | ||||
5 | 5 |
Verdict
The division of 1,375 by 60 results in a quotient of 22 and a remainder of 55, meaning 60 goes into 1,375 Twenty Two times with 55 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.