How to calculate 125 divided by 4 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 4 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 125 divided by 4 in decimal = 31.25
- 125 divided by 4 in fraction = 125/4
- 125 divided by 4 in percentage = 3,125%
What is the Quotient and Remainder of 125 divided by 4?
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 4 is 31, and the remainder is 1. Thus,
125 ÷ 4 = 31 R 1
When you divide One Hundred And Twenty Five by Four, the quotient is Thirty One, and the remainder is One.
Let's calculate 125 divided by 4 using long division
Step 1:
4 | ⟌ | 1 | 2 | 5 |
Step 2:
0 | ||||
4 | ⟌ | 1 | 2 | 5 |
- | 0 | |||
1 | 2 |
Step 3:
0 | 3 | |||
4 | ⟌ | 1 | 2 | 5 |
- | 0 | |||
1 | 2 | |||
- | 1 | 2 | ||
0 |
Step 4:
0 | 3 | |||
4 | ⟌ | 1 | 2 | 5 |
- | 0 | |||
1 | 2 | |||
- | 1 | 2 | ||
0 | 5 |
Step 5:
0 | 3 | 1 | |||
4 | ⟌ | 1 | 2 | 5 | |
- | 0 | ||||
1 | 2 | ||||
- | 1 | 2 | |||
0 | 5 | ||||
- | 4 | ||||
1 |
Verdict
The division of 125 by 4 results in a quotient of 31 and a remainder of 1, meaning 4 goes into 125 Thirty One times with 1 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.