Long Division Problem: Dividing 617 by 6 Step-by-Step

To solve this problem, we'll follow these steps:

• Step 1: Set up the division of $617$ by $6$.
• Step 2: Perform the long division to find the quotient and remainder.

Now, let's work through each step:

Step 1: We start by setting up the division as follows: place $6$ outside the division symbol and $617$ inside.

Step 2: Perform the division:

• Divide the first digit $6$ by $6$, which gives $1$. Thus, the first digit of the quotient is $1$. Subtract $6 \times 1 = 6$ from $6$, resulting in $0$. Bring down the next digit, which is $1$, giving us $01$.
• Since $6$ does not divide into $1$ (or $01$), we place a $0$ in the quotient and bring down the next digit, $7$, making it $17$.
• Divide $17$ by $6$, which gives $2$ as the quotient digit. Subtract $6 \times 2 = 12$ from $17$, resulting in $5$.

The quotient is $102$ and the remainder is $5$.

Therefore, the solution to the problem is $102$ with a remainder of $5$.