We look at the division of 369365 by 11 
Our goal is to divide 369365 by 11.

Going ahead to step 1:
3 divided by 11 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 11

Going ahead to step 2:
When dividing 36 by 11, we get 3 with a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 3 after subtracting 33 from 36.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 11

Advancing to step 3:
39 divided by 11 is 3 with a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 33.0
Subtracting 33 from 39 leaves us with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 11

Moving on to step 4:
11 goes into 63 5 times with a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 335.0
If we subtract 55 from 63, we get 8.
Include the next digit (6) from the dividend after 8, then repeat: 86 / 11

On to step 5:
If we divide 86 by 11, we get 7 and a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 3357.0
Deduct 77 from 86 and we're left with 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 11

Let's proceed to step 6:
11 can be fit into 95 8 times, resulting in a remainder of 7.
The next digit of our result is 8. 
Result so far: 33578.0
If we take 88 away from 95, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
11 can be fit into 70 6 times, resulting in a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 33578.6
The remainder is 4 after subtracting 66 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
The number 11 fits into 40 3 times, leaving a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 33578.63
Subtract 33 from 40 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 9:
70 divided by 11 is 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 33578.636
Subtracting 66 from 70 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 10:
11 can be fit into 40 3 times, resulting in a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 33578.6363
If we subtract 33 from 40, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 11:
If we divide 70 by 11, we get 6 and a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 33578.63636
If we take 66 away from 70, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
11 goes into 40 3 times with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 33578.636363
If we subtract 33 from 40, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 13:
11 goes into 70 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 33578.6363636
Subtract 66 from 70 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 14:
40 divided by 11 is 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 33578.63636363
If we take 33 away from 40, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final result is 33578.63636363 with a remainder of 7e-09.