We look at the division of 349761 by 9 
Let's see how many times 9 fits into 349761.

Advancing to step 1:
The number 9 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 9

Moving on to step 2:
If we divide 34 by 9, we get 3 and a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 3.0
The remainder is 7 after subtracting 27 from 34.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 9

Moving on to step 3:
When dividing 79 by 9, we get 8 with a remainder of 7.
The number 8 becomes the next digit in our result. 
Result so far: 38.0
Deduct 72 from 79 and we're left with 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 9

Advancing to step 4:
77 divided by 9 is 8 with a remainder of 5.
Put 8 as the next digit of the answer. 
Result so far: 388.0
Deduct 72 from 77 and we're left with 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 9

Let's proceed to step 5:
9 can be fit into 56 6 times, resulting in a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 3886.0
If we take 54 away from 56, we end up with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 9

On to step 6:
The number 9 fits into 21 2 times, leaving a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 38862.0
Subtract 18 from 21 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
9 can be fit into 30 3 times, resulting in a remainder of 3.
The next digit of our result is 3. 
Result so far: 38862.3
If we take 27 away from 30, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 8:
30 divided by 9 is 3 with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 38862.33
If we subtract 27 from 30, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Our division results in 38862.33 with a remaining 0.003.