How to calculate 372 divided by 31 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 372 (the dividend) by 31 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 372 divided by 31 in decimal = 12
- 372 divided by 31 in fraction = 372/31
- 372 divided by 31 in percentage = 1,200%
What is the Quotient and Remainder of 372 divided by 31?
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 372 is a multiple of 31, there should be no remainder.
The quotient of 372 divided by 31 is 12, and the remainder is 0. Thus,
372 ÷ 31 = 12 R 0
When you divide Three Hundred And Seventy Two by Thirty One, the quotient is Twelve, and the remainder is Zero.
Let's calculate 372 divided by 31 using long division
Step 1:
3 | 1 | ⟌ | 3 | 7 | 2 |
Step 2:
0 | |||||
3 | 1 | ⟌ | 3 | 7 | 2 |
- | 0 | ||||
3 | 7 |
Step 3:
0 | 1 | ||||
3 | 1 | ⟌ | 3 | 7 | 2 |
- | 0 | ||||
3 | 7 | ||||
- | 3 | 1 | |||
6 |
Step 4:
0 | 1 | ||||
3 | 1 | ⟌ | 3 | 7 | 2 |
- | 0 | ||||
3 | 7 | ||||
- | 3 | 1 | |||
6 | 2 |
Step 5:
0 | 1 | 2 | ||||
3 | 1 | ⟌ | 3 | 7 | 2 | |
- | 0 | |||||
3 | 7 | |||||
- | 3 | 1 | ||||
6 | 2 | |||||
- | 6 | 2 | ||||
0 |
Verdict
The division of 372 by 31 results in a quotient of 12 and a remainder of 0, meaning 31 goes into 372 Twelve 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.