Answer:

↓ Step Breakdown ↓
How I got 344 was I asked myself, "How many times does 9 go into 3103?"
To the 1st digit manner, 9 goes into 31(03) 3 times.
Subtract.
Result is 4. Drop the 0 from the tens place to match up.
9 goes into 4(0) 4 times.
Subtract.
The result is 4. Drop the 3 from the ones place.
9 goes into 4(3) 4 times.
Final subtraction.
The final result is 7.