How to calculate 696 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 696 (the dividend) by 12 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 696 divided by 12 in decimal = 58
- 696 divided by 12 in fraction = 696/12
- 696 divided by 12 in percentage = 5,800%
What is the Quotient and Remainder of 696 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. In this case, however, since 696 is a multiple of 12, there should be no remainder.
The quotient of 696 divided by 12 is 58, and the remainder is 0. Thus,
696 ÷ 12 = 58 R 0
When you divide Six Hundred And Ninety Six by Twelve, the quotient is Fifty Eight, and the remainder is Zero.
Let's calculate 696 divided by 12 using long division
Step 1:
1 | 2 | ⟌ | 6 | 9 | 6 |
Step 2:
0 | |||||
1 | 2 | ⟌ | 6 | 9 | 6 |
- | 0 | ||||
6 | 9 |
Step 3:
0 | 5 | ||||
1 | 2 | ⟌ | 6 | 9 | 6 |
- | 0 | ||||
6 | 9 | ||||
- | 6 | 0 | |||
9 |
Step 4:
0 | 5 | ||||
1 | 2 | ⟌ | 6 | 9 | 6 |
- | 0 | ||||
6 | 9 | ||||
- | 6 | 0 | |||
9 | 6 |
Step 5:
0 | 5 | 8 | ||||
1 | 2 | ⟌ | 6 | 9 | 6 | |
- | 0 | |||||
6 | 9 | |||||
- | 6 | 0 | ||||
9 | 6 | |||||
- | 9 | 6 | ||||
0 |
Verdict
The division of 696 by 12 results in a quotient of 58 and a remainder of 0, meaning 12 goes into 696 Fifty Eight 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.