Long Division Problem: Divide 878 by 6 Step-by-Step

To solve this problem, we need to perform long division on 878 by 6 to find the quotient and remainder.

First, examine how many times 6 fits into the digits of 878 from left to right.

• Step 1: Determine how many times 6 fits into the first part of 878. 6 fits into 8 once. Below the 8, write 6, because $6 \times 1 = 6$.
• Subtract 6 from 8, which gives a remainder of 2. Bring down the next digit, 7, making the number 27.
• Step 2: Determine how many times 6 fits into 27. 6 fits into 27 four times. Below the 27, write 24, because $6 \times 4 = 24$.
• Subtract 24 from 27, which gives a remainder of 3. Bring down the last digit, 8, making the number 38.
• Step 3: Determine how many times 6 fits into 38. 6 fits into 38 six times. Below the 38, write 36, because $6 \times 6 = 36$.
• Subtract 36 from 38, which gives a final remainder of 2.

Thus, the quotient is 146 with a remainder of 2.

Therefore, the solution to the problem is $146$ with a remainder of 2.