We look at the division of 369366 by 34 
We want to divide 369366 by 34.

Going ahead to step 1:
34 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 34

On to step 2:
If we divide 36 by 34, we get 1 and a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 2 after subtracting 34 from 36.
Include the next digit (9) from the dividend after 2, then repeat: 29 / 34

Moving on to step 3:
When dividing 29 by 34, we get 0 with a remainder of 29.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we subtract 0 from 29, we get 29.
Fetch the next digit (3) from the dividend, attach it to 29 and continue: 293 / 34

Going ahead to step 4:
When dividing 293 by 34, we get 8 with a remainder of 21.
Use 8 as the next digit of our solution. 
Result so far: 108.0
If we take 272 away from 293, we end up with 21.
Append the next digit (6) from the dividend to 21 and continue with: 216 / 34

Let's proceed to step 5:
The number 34 fits into 216 6 times, leaving a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 1086.0
If we take 204 away from 216, we end up with 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 34

On to step 6:
126 divided by 34 is 3 with a remainder of 24.
Record the quotient 3 as the next digit in the result. 
Result so far: 10863.0
If we subtract 102 from 126, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 7:
34 can be fit into 240 7 times, resulting in a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 10863.7
If we take 238 away from 240, we end up 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 8:
If we divide 20 by 34, we get 0 and a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 10863.7
Subtract 0 from 20 to get 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 9:
200 divided by 34 is 5 with a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 10863.705
If we subtract 170 from 200, we get 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 10:
If we divide 300 by 34, we get 8 and a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 10863.7058
Subtracting 272 from 300 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 11:
If we divide 280 by 34, we get 8 and a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 10863.70588
If we take 272 away from 280, we end up with 8.
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 10863.70588 with a balance of 8e-06.