To find the quotient of \( 6196 \div 6 \), we can perform the division.
Starting the division:
- 6 into 61: 6 goes into 61 ten times (since \( 6 \times 10 = 60 \)).
- Subtract \( 60 \) from \( 61 \): \( 61 - 60 = 1 \).
- Bring down the next digit (9), making it \( 19 \).
- 6 into 19: 6 goes into 19 three times (since \( 6 \times 3 = 18 \)).
- Subtract \( 18 \) from \( 19 \): \( 19 - 18 = 1 \).
- Bring down the next digit (6), making it \( 16 \).
- 6 into 16: 6 goes into 16 two times (since \( 6 \times 2 = 12 \)).
- Subtract \( 12 \) from \( 16 \): \( 16 - 12 = 4 \).
- There are no more digits to bring down, so we keep the remainder \( 4 \).
Putting this all together, we have:
\[ 6196 \div 6 = 1032 \quad \text{with a remainder of } 4. \]
Thus, the quotient is \( 1032 \).