How to calculate 460 divided by 12 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 460 (the dividend) by 12 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 460 divided by 12 in decimal = 38.333333333333
- 460 divided by 12 in fraction = 460/12
- 460 divided by 12 in percentage = 3,833.3333333333%
What is the Quotient and Remainder of 460 divided by 12?
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 460 divided by 12 is 38, and the remainder is 4. Thus,
460 ÷ 12 = 38 R 4
When you divide Four Hundred And Sixty by Twelve, the quotient is Thirty Eight, and the remainder is Four.
Let's calculate 460 divided by 12 using long division
Step 1:
1 | 2 | ⟌ | 4 | 6 | 0 |
Step 2:
0 | |||||
1 | 2 | ⟌ | 4 | 6 | 0 |
- | 0 | ||||
4 | 6 |
Step 3:
0 | 3 | ||||
1 | 2 | ⟌ | 4 | 6 | 0 |
- | 0 | ||||
4 | 6 | ||||
- | 3 | 6 | |||
1 | 0 |
Step 4:
0 | 3 | ||||
1 | 2 | ⟌ | 4 | 6 | 0 |
- | 0 | ||||
4 | 6 | ||||
- | 3 | 6 | |||
1 | 0 | 0 |
Step 5:
0 | 3 | 8 | ||||
1 | 2 | ⟌ | 4 | 6 | 0 | |
- | 0 | |||||
4 | 6 | |||||
- | 3 | 6 | ||||
1 | 0 | 0 | ||||
- | 9 | 6 | ||||
4 |
Verdict
The division of 460 by 12 results in a quotient of 38 and a remainder of 4, meaning 12 goes into 460 Thirty Eight times with 4 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.