We're dividing 348641 by 34 
Let's see how many times 34 fits into 348641.

Advancing to step 1:
The number 34 fits into 3 0 times, leaving a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 34

On to step 2:
The number 34 fits into 34 1 times, leaving a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 34 away from 34, we end up with 0.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 34

Moving on to step 3:
8 divided by 34 is 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (6) from the dividend after 8, then repeat: 86 / 34

Let's proceed to step 4:
The number 34 fits into 86 2 times, leaving a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 102.0
Subtract 68 from 86 to get 18.
Include the next digit (4) from the dividend after 18, then repeat: 184 / 34

Advancing to step 5:
34 can be fit into 184 5 times, resulting in a remainder of 14.
The next digit of our result is 5. 
Result so far: 1025.0
If we subtract 170 from 184, we get 14.
Append the next digit (1) from the dividend to 14 and continue with: 141 / 34

Let's proceed to step 6:
When dividing 141 by 34, we get 4 with a remainder of 5.
The number 4 becomes the next digit in our result. 
Result so far: 10254.0
Deduct 136 from 141 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
34 can be fit into 50 1 times, resulting in a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 10254.1
Deduct 34 from 50 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 8:
160 divided by 34 is 4 with a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 10254.14
The remainder is 24 after subtracting 136 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 9:
When dividing 240 by 34, we get 7 with a remainder of 2.
The next digit of our result is 7. 
Result so far: 10254.147
Subtracting 238 from 240 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 10:
If we divide 20 by 34, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 10254.147
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 11:
The number 34 fits into 200 5 times, leaving a remainder of 30.
The next digit of our result is 5. 
Result so far: 10254.14705
If we take 170 away from 200, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 12:
The number 34 fits into 300 8 times, leaving a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 10254.147058
If we subtract 272 from 300, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 13:
280 divided by 34 is 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 10254.1470588
The remainder is 8 after subtracting 272 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

In conclusion, the division gives 10254.1470588 with a balance of 8e-08.