How to calculate 112 divided by 3 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 112 (the dividend) by 3 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 112 divided by 3 in decimal = 37.333333333333
- 112 divided by 3 in fraction = 112/3
- 112 divided by 3 in percentage = 3,733.3333333333%
What is the Quotient and Remainder of 112 divided by 3?
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 112 divided by 3 is 37, and the remainder is 1. Thus,
112 ÷ 3 = 37 R 1
When you divide One Hundred And Twelve by Three, the quotient is Thirty Seven, and the remainder is One.
Let's calculate 112 divided by 3 using long division
Step 1:
3 | ⟌ | 1 | 1 | 2 |
Step 2:
0 | ||||
3 | ⟌ | 1 | 1 | 2 |
- | 0 | |||
1 | 1 |
Step 3:
0 | 3 | |||
3 | ⟌ | 1 | 1 | 2 |
- | 0 | |||
1 | 1 | |||
- | 9 | |||
2 |
Step 4:
0 | 3 | |||
3 | ⟌ | 1 | 1 | 2 |
- | 0 | |||
1 | 1 | |||
- | 9 | |||
2 | 2 |
Step 5:
0 | 3 | 7 | |||
3 | ⟌ | 1 | 1 | 2 | |
- | 0 | ||||
1 | 1 | ||||
- | 9 | ||||
2 | 2 | ||||
- | 2 | 1 | |||
1 |
Verdict
The division of 112 by 3 results in a quotient of 37 and a remainder of 1, meaning 3 goes into 112 Thirty Seven times with 1 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.