Long Division Problem: Divide 816 by 5

To solve the problem, we will perform a long division of 816 by 5.

Let's go through the steps of long division:

• Step 1: Divide the first digit of the dividend: $8 \div 5 = 1$. The quotient so far is 1.
• Step 2: Multiply 1 (quotient) by 5 (divisor) to get 5.
• Step 3: Subtract 5 from 8 which gives a remainder of 3. Bring down the next digit (1) to make it 31.
• Step 4: Divide 31 by 5. $31 \div 5 = 6$ remainder 1. The quotient now is 16.
• Step 5: Multiply 6 (newest quotient digit) by 5 to get 30.
• Step 6: Subtract 30 from 31 which leaves a remainder of 1. Bring down the last digit (6) of the original number to make it 16.
• Step 7: Divide 16 by 5. $16 \div 5 = 3$ remainder 1. Add 3 to the quotient making it 163.
• Step 8: Multiplying 3 by 5, we get 15.
• Step 9: Subtract 15 from 16 to get a final remainder of 1.

This implies the complete division yields a quotient of 163 with a remainder of 1.

Therefore, the solution to the problem is $163$ with a remainder of 1.