How to calculate 102 divided by 6 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 102 (the dividend) by 6 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 102 divided by 6 in decimal = 17
- 102 divided by 6 in fraction = 102/6
- 102 divided by 6 in percentage = 1,700%
What is the Quotient and Remainder of 102 divided by 6?
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 102 is a multiple of 6, there should be no remainder.
The quotient of 102 divided by 6 is 17, and the remainder is 0. Thus,
102 ÷ 6 = 17 R 0
When you divide One Hundred And Two by Six, the quotient is Seventeen, and the remainder is Zero.
Let's calculate 102 divided by 6 using long division
Step 1:
6 | ⟌ | 1 | 0 | 2 |
Step 2:
0 | ||||
6 | ⟌ | 1 | 0 | 2 |
- | 0 | |||
1 | 0 |
Step 3:
0 | 1 | |||
6 | ⟌ | 1 | 0 | 2 |
- | 0 | |||
1 | 0 | |||
- | 6 | |||
4 |
Step 4:
0 | 1 | |||
6 | ⟌ | 1 | 0 | 2 |
- | 0 | |||
1 | 0 | |||
- | 6 | |||
4 | 2 |
Step 5:
0 | 1 | 7 | |||
6 | ⟌ | 1 | 0 | 2 | |
- | 0 | ||||
1 | 0 | ||||
- | 6 | ||||
4 | 2 | ||||
- | 4 | 2 | |||
0 |
Verdict
The division of 102 by 6 results in a quotient of 17 and a remainder of 0, meaning 6 goes into 102 Seventeen 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.