How to calculate 397 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 397 (the dividend) by 12 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 397 divided by 12 in decimal = 33.083333333333
- 397 divided by 12 in fraction = 397/12
- 397 divided by 12 in percentage = 3,308.3333333333%
What is the Quotient and Remainder of 397 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 397 divided by 12 is 33, and the remainder is 1. Thus,
397 ÷ 12 = 33 R 1
When you divide Three Hundred And Ninety Seven by Twelve, the quotient is Thirty Three, and the remainder is One.
Let's calculate 397 divided by 12 using long division
Step 1:
1 | 2 | ⟌ | 3 | 9 | 7 |
Step 2:
0 | |||||
1 | 2 | ⟌ | 3 | 9 | 7 |
- | 0 | ||||
3 | 9 |
Step 3:
0 | 3 | ||||
1 | 2 | ⟌ | 3 | 9 | 7 |
- | 0 | ||||
3 | 9 | ||||
- | 3 | 6 | |||
3 |
Step 4:
0 | 3 | ||||
1 | 2 | ⟌ | 3 | 9 | 7 |
- | 0 | ||||
3 | 9 | ||||
- | 3 | 6 | |||
3 | 7 |
Step 5:
0 | 3 | 3 | ||||
1 | 2 | ⟌ | 3 | 9 | 7 | |
- | 0 | |||||
3 | 9 | |||||
- | 3 | 6 | ||||
3 | 7 | |||||
- | 3 | 6 | ||||
1 |
Verdict
The division of 397 by 12 results in a quotient of 33 and a remainder of 1, meaning 12 goes into 397 Thirty Three 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.