How to calculate 125 divided by 37 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 125 (the dividend) by 37 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 125 divided by 37 in decimal = 3.3783783783784
- 125 divided by 37 in fraction = 125/37
- 125 divided by 37 in percentage = 337.83783783784%
What is the Quotient and Remainder of 125 divided by 37?
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 125 divided by 37 is 3, and the remainder is 14. Thus,
125 ÷ 37 = 3 R 14
When you divide One Hundred And Twenty Five by Thirty Seven, the quotient is Three, and the remainder is Fourteen.
Let's calculate 125 divided by 37 using long division
Step 1:
3 | 7 | ⟌ | 1 | 2 | 5 |
Step 2:
0 | |||||
3 | 7 | ⟌ | 1 | 2 | 5 |
- | 0 | ||||
1 | 2 |
Step 3:
0 | 0 | ||||
3 | 7 | ⟌ | 1 | 2 | 5 |
- | 0 | ||||
1 | 2 | ||||
- | 0 | ||||
1 | 2 |
Step 4:
0 | 0 | ||||
3 | 7 | ⟌ | 1 | 2 | 5 |
- | 0 | ||||
1 | 2 | ||||
- | 0 | ||||
1 | 2 | 5 |
Step 5:
0 | 0 | 3 | ||||
3 | 7 | ⟌ | 1 | 2 | 5 | |
- | 0 | |||||
1 | 2 | |||||
- | 0 | |||||
1 | 2 | 5 | ||||
- | 1 | 1 | 1 | |||
1 | 4 |
Verdict
The division of 125 by 37 results in a quotient of 3 and a remainder of 14, meaning 37 goes into 125 Three times with 14 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.