How to calculate 120 divided by 30 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 120 (the dividend) by 30 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 120 divided by 30 in decimal = 4
- 120 divided by 30 in fraction = 120/30
- 120 divided by 30 in percentage = 400%
What is the Quotient and Remainder of 120 divided by 30?
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 120 is a multiple of 30, there should be no remainder.
The quotient of 120 divided by 30 is 4, and the remainder is 0. Thus,
120 ÷ 30 = 4 R 0
When you divide One Hundred And Twenty by Thirty, the quotient is Four, and the remainder is Zero.
Let's calculate 120 divided by 30 using long division
Step 1:
3 | 0 | ⟌ | 1 | 2 | 0 |
Step 2:
0 | |||||
3 | 0 | ⟌ | 1 | 2 | 0 |
- | 0 | ||||
1 | 2 |
Step 3:
0 | 0 | ||||
3 | 0 | ⟌ | 1 | 2 | 0 |
- | 0 | ||||
1 | 2 | ||||
- | 0 | ||||
1 | 2 |
Step 4:
0 | 0 | ||||
3 | 0 | ⟌ | 1 | 2 | 0 |
- | 0 | ||||
1 | 2 | ||||
- | 0 | ||||
1 | 2 | 0 |
Step 5:
0 | 0 | 4 | ||||
3 | 0 | ⟌ | 1 | 2 | 0 | |
- | 0 | |||||
1 | 2 | |||||
- | 0 | |||||
1 | 2 | 0 | ||||
- | 1 | 2 | 0 | |||
0 |
Verdict
The division of 120 by 30 results in a quotient of 4 and a remainder of 0, meaning 30 goes into 120 Four 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.