Certainly! Let's break down the division of 11 by 6 step by step:
1. Identify the dividend and the divisor:
- Dividend: 11
- Divisor: 6
2. Determine how many times the divisor fits into the dividend completely:
- 6 goes into 11 one time completely, because [tex]\(6 \times 1 = 6\)[/tex].
3. Calculate the quotient:
- Since 6 fits one time into 11, the quotient is 1.
4. Calculate the remainder:
- Subtract the product of the divisor and the quotient from the dividend: [tex]\(11 - 6 = 5\)[/tex].
Therefore, when you divide 11 by 6, you get a quotient of 1 and a remainder of 5.
So, the result is:
[tex]\[ 11 \div 6 = 1 \, \text{R} \, 5 \][/tex]