Long Division Problem: Dividing 1305 by 4 Step-by-Step

To solve the problem of dividing 1305 by 4, we will use long division.

Step-by-step solution:

• Step 1: Divide the first digit of the dividend. 1 (in 1305) is less than 4, so we consider the first two digits, 13.
• Step 2: Find how many times 4 goes into 13. It goes 3 times because $4 \times 3 = 12$.
• Step 3: Subtract 12 from 13, leaving a remainder of 1. Bring down the next digit, 0, to make it 10.
• Step 4: Determine how many times 4 goes into 10. It goes 2 times because $4 \times 2 = 8$.
• Step 5: Subtract 8 from 10, leaving a remainder of 2. Bring down the next digit, 5, making it 25.
• Step 6: See how many times 4 fits into 25. It goes 6 times because $4 \times 6 = 24$.
• Step 7: Subtract 24 from 25, which leaves a remainder of 1.

The quotient from the division is 326, and the remainder is 1.

Therefore, the solution to the division of 1305 by 4 is $326$ with a remainder of 1.