How to calculate 371 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 371 (the dividend) by 12 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 371 divided by 12 in decimal = 30.916666666667
- 371 divided by 12 in fraction = 371/12
- 371 divided by 12 in percentage = 3,091.6666666667%
What is the Quotient and Remainder of 371 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 371 divided by 12 is 30, and the remainder is 11. Thus,
371 ÷ 12 = 30 R 11
When you divide Three Hundred And Seventy One by Twelve, the quotient is Thirty, and the remainder is Eleven.
Let's calculate 371 divided by 12 using long division
Step 1:
1 | 2 | ⟌ | 3 | 7 | 1 |
Step 2:
0 | |||||
1 | 2 | ⟌ | 3 | 7 | 1 |
- | 0 | ||||
3 | 7 |
Step 3:
0 | 3 | ||||
1 | 2 | ⟌ | 3 | 7 | 1 |
- | 0 | ||||
3 | 7 | ||||
- | 3 | 6 | |||
1 |
Step 4:
0 | 3 | ||||
1 | 2 | ⟌ | 3 | 7 | 1 |
- | 0 | ||||
3 | 7 | ||||
- | 3 | 6 | |||
1 | 1 |
Step 5:
0 | 3 | 0 | ||||
1 | 2 | ⟌ | 3 | 7 | 1 | |
- | 0 | |||||
3 | 7 | |||||
- | 3 | 6 | ||||
1 | 1 | |||||
- | 0 | |||||
1 | 1 |
Verdict
The division of 371 by 12 results in a quotient of 30 and a remainder of 11, meaning 12 goes into 371 Thirty times with 11 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.