How to calculate 376 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 376 (the dividend) by 12 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 376 divided by 12 in decimal = 31.333333333333
- 376 divided by 12 in fraction = 376/12
- 376 divided by 12 in percentage = 3,133.3333333333%
What is the Quotient and Remainder of 376 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 376 divided by 12 is 31, and the remainder is 4. Thus,
376 ÷ 12 = 31 R 4
When you divide Three Hundred And Seventy Six by Twelve, the quotient is Thirty One, and the remainder is Four.
Let's calculate 376 divided by 12 using long division
Step 1:
1 | 2 | ⟌ | 3 | 7 | 6 |
Step 2:
0 | |||||
1 | 2 | ⟌ | 3 | 7 | 6 |
- | 0 | ||||
3 | 7 |
Step 3:
0 | 3 | ||||
1 | 2 | ⟌ | 3 | 7 | 6 |
- | 0 | ||||
3 | 7 | ||||
- | 3 | 6 | |||
1 |
Step 4:
0 | 3 | ||||
1 | 2 | ⟌ | 3 | 7 | 6 |
- | 0 | ||||
3 | 7 | ||||
- | 3 | 6 | |||
1 | 6 |
Step 5:
0 | 3 | 1 | ||||
1 | 2 | ⟌ | 3 | 7 | 6 | |
- | 0 | |||||
3 | 7 | |||||
- | 3 | 6 | ||||
1 | 6 | |||||
- | 1 | 2 | ||||
4 |
Verdict
The division of 376 by 12 results in a quotient of 31 and a remainder of 4, meaning 12 goes into 376 Thirty One 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.