How to calculate 10 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 10 (the dividend) by 6 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 10 divided by 6 in decimal = 1.6666666666667
- 10 divided by 6 in fraction = 10/6
- 10 divided by 6 in percentage = 166.66666666667%
What is the Quotient and Remainder of 10 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.
The quotient of 10 divided by 6 is 1, and the remainder is 4. Thus,
10 ÷ 6 = 1 R 4
When you divide Ten by Six, the quotient is One, and the remainder is Four.
Let's calculate 10 divided by 6 using long division
Step 1:
6 | ⟌ | 1 | 0 |
Step 2:
0 | |||
6 | ⟌ | 1 | 0 |
- | 0 | ||
1 |
Step 3:
0 | |||
6 | ⟌ | 1 | 0 |
- | 0 | ||
1 | 0 |
Step 4:
0 | 1 | |||
6 | ⟌ | 1 | 0 | |
- | 0 | |||
1 | 0 | |||
- | 6 | |||
4 |
Verdict
The division of 10 by 6 results in a quotient of 1 and a remainder of 4, meaning 6 goes into 10 One time with 4 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.