Long Division Problem: Dividing 52103 by 29 Step-by-Step

To solve this problem, we will perform a long division of 52103 by 29 and determine both the quotient and the remainder.

Let's divide 52103 by 29 using long division:

• First, see how many times 29 can go into the first few digits of 52103, starting from the left.
• 29 into 52 goes 1 time. Multiply $29 \times 1 = 29$. Subtract 29 from 52, giving us 23.
• Bring down the next digit forming 231.
• 29 into 231 goes 7 times. Multiply $29 \times 7 = 203$. Subtract 203 from 231, giving us 28.
• Bring down the next digit forming 280.
• 29 into 280 goes 9 times. Multiply $29 \times 9 = 261$. Subtract 261 from 280, giving us 19.
• Bring down the last digit forming 193.
• 29 into 193 goes 6 times. Multiply $29 \times 6 = 174$. Subtract 174 from 193, giving us 19.

The quotient of the division of 52103 by 29 is 1796 with a remainder of 19, which matches choice 4.

Therefore, the correct answer is: $1796$ with a remainder of 19.