We look at the division of 369338 by 28 
We're looking to find how many times 28 goes into 369338.

Step 1:
If we divide 3 by 28, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 28

Going ahead to step 2:
36 divided by 28 is 1 with a remainder of 8.
The next digit of our result is 1. 
Result so far: 1.0
If we take 28 away from 36, we end up with 8.
Include the next digit (9) from the dividend after 8, then repeat: 89 / 28

Advancing to step 3:
If we divide 89 by 28, we get 3 and a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 13.0
If we subtract 84 from 89, we get 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 28

On to step 4:
When dividing 53 by 28, we get 1 with a remainder of 25.
Record the quotient 1 as the next digit in the result. 
Result so far: 131.0
Subtract 28 from 53 to get 25.
Append the next digit (3) from the dividend to 25 and continue with: 253 / 28

Advancing to step 5:
If we divide 253 by 28, we get 9 and a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 1319.0
If we subtract 252 from 253, we get 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 28

Advancing to step 6:
28 can be fit into 18 0 times, resulting in a remainder of 18.
Use 0 as the next digit of our solution. 
Result so far: 13190.0
Subtract 0 from 18 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 7:
28 can be fit into 180 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 13190.6
Deduct 168 from 180 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
120 divided by 28 is 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 13190.64
Deduct 112 from 120 and we're left 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.

Moving on to step 9:
80 divided by 28 is 2 with a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 13190.642
If we subtract 56 from 80, 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.

Let's proceed to step 10:
If we divide 240 by 28, we get 8 and a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 13190.6428
If we take 224 away from 240, we end up 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.

Step 11:
28 goes into 160 5 times with a remainder of 20.
The number 5 becomes the next digit in our result. 
Result so far: 13190.64285
Deduct 140 from 160 and we're left 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.

Going ahead to step 12:
28 goes into 200 7 times with a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 13190.642857
The remainder is 4 after subtracting 196 from 200.
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 13:
If we divide 40 by 28, we get 1 and a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 13190.6428571
The remainder is 12 after subtracting 28 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 14:
28 goes into 120 4 times with a remainder of 8.
The next digit of our result is 4. 
Result so far: 13190.64285714
If we subtract 112 from 120, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 13190.64285714 with a remaining 8e-09.