Long Division Problem: Divide 3412 by 2 Step-by-Step

To solve the division $3412 \div 2$, we will use long division:

• Step 1: Start with the leftmost digit. Divide 3 by 2, which goes 1 time. Write 1 above the division bar. Multiply 1 by 2, subtract from 3 to get a remainder of 1.
• Step 2: Bring down the next digit (4) to get 14. Divide 14 by 2, which is 7. Write 7 above the division bar. Multiply 7 by 2, subtract from 14 to get 0.
• Step 3: Bring down the next digit (1) to get 1. Divide 1 by 2, which goes 0 times. Write 0 above the division bar.
• Step 4: Bring down the final digit (2) to get 12. Divide 12 by 2, which is 6. Write 6 above the division bar. Multiply 6 by 2, which equals 12. Subtract from 12 to get 0.
• Since all digits have been brought down and divided with a remainder of 0, the quotient is the complete result of the division.

Therefore, the final quotient is $\mathbf{1706}$.