How to calculate 358 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 358 (the dividend) by 12 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 358 divided by 12 in decimal = 29.833333333333
- 358 divided by 12 in fraction = 358/12
- 358 divided by 12 in percentage = 2,983.3333333333%
What is the Quotient and Remainder of 358 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 358 divided by 12 is 29, and the remainder is 10. Thus,
358 ÷ 12 = 29 R 10
When you divide Three Hundred And Fifty Eight by Twelve, the quotient is Twenty Nine, and the remainder is Ten.
Let's calculate 358 divided by 12 using long division
Step 1:
1 | 2 | ⟌ | 3 | 5 | 8 |
Step 2:
0 | |||||
1 | 2 | ⟌ | 3 | 5 | 8 |
- | 0 | ||||
3 | 5 |
Step 3:
0 | 2 | ||||
1 | 2 | ⟌ | 3 | 5 | 8 |
- | 0 | ||||
3 | 5 | ||||
- | 2 | 4 | |||
1 | 1 |
Step 4:
0 | 2 | ||||
1 | 2 | ⟌ | 3 | 5 | 8 |
- | 0 | ||||
3 | 5 | ||||
- | 2 | 4 | |||
1 | 1 | 8 |
Step 5:
0 | 2 | 9 | ||||
1 | 2 | ⟌ | 3 | 5 | 8 | |
- | 0 | |||||
3 | 5 | |||||
- | 2 | 4 | ||||
1 | 1 | 8 | ||||
- | 1 | 0 | 8 | |||
1 | 0 |
Verdict
The division of 358 by 12 results in a quotient of 29 and a remainder of 10, meaning 12 goes into 358 Twenty Nine times with 10 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.