To divide 77 by 6 and express the result in terms of a quotient and a remainder, follow these steps:
1. Identify the dividend and divisor:
- The dividend is 77.
- The divisor is 6.
2. Find the quotient:
- Determine how many whole times 6 can be divided into 77.
Since 6 multiplied by 12 gives 72, and 6 multiplied by 13 is 78 (which is greater than 77), we know that 6 fits into 77 a total of 12 whole times. Thus, the quotient is 12.
3. Calculate the remainder:
- Multiply the quotient (12) by the divisor (6) to get 72.
- Subtract this product (72) from the original dividend (77) to find the remainder. The calculation is:
[tex]\[
77 - 72 = 5
\][/tex]
So, the quotient is 12 and the remainder is 5.
Therefore, the result of [tex]\( 77 \div 6 \)[/tex] can be expressed as:
[tex]\[
12 \quad R \quad 5
\][/tex]
In summary:
[tex]\[
77 \div 6 = 12 \, R \, 5
\][/tex]
