We look at the division of 369689 by 38 
Our goal is to divide 369689 by 38.

Moving on to step 1:
The number 38 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.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 38

On to step 2:
38 can be fit into 36 0 times, resulting in a remainder of 36.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 36 after subtracting 0 from 36.
Append the next digit (9) from the dividend to 36 and continue with: 369 / 38

Let's proceed to step 3:
The number 38 fits into 369 9 times, leaving a remainder of 27.
The next digit of our result is 9. 
Result so far: 9.0
If we subtract 342 from 369, we get 27.
Grab the next digit (6) from the dividend, add it to 27, then carry on: 276 / 38

Advancing to step 4:
When dividing 276 by 38, we get 7 with a remainder of 10.
Use 7 as the next digit of our solution. 
Result so far: 97.0
The remainder is 10 after subtracting 266 from 276.
Include the next digit (8) from the dividend after 10, then repeat: 108 / 38

Step 5:
When dividing 108 by 38, we get 2 with a remainder of 32.
Write down 2 as next digit of the result. 
Result so far: 972.0
If we take 76 away from 108, we end up with 32.
Append the next digit (9) from the dividend to 32 and continue with: 329 / 38

Step 6:
The number 38 fits into 329 8 times, leaving a remainder of 25.
Use 8 as the next digit of our solution. 
Result so far: 9728.0
Subtracting 304 from 329 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 7:
The number 38 fits into 250 6 times, leaving a remainder of 22.
Record the quotient 6 as the next digit in the result. 
Result so far: 9728.6
Deduct 228 from 250 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 8:
When dividing 220 by 38, we get 5 with a remainder of 30.
The next digit of our result is 5. 
Result so far: 9728.65
If we take 190 away from 220, 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 9:
38 goes into 300 7 times with a remainder of 34.
The next digit of our result is 7. 
Result so far: 9728.657
Subtract 266 from 300 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 10:
38 can be fit into 340 8 times, resulting in a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 9728.6578
Subtract 304 from 340 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 11:
38 goes into 360 9 times with a remainder of 18.
Record the quotient 9 as the next digit in the result. 
Result so far: 9728.65789
Deduct 342 from 360 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 12:
When dividing 180 by 38, we get 4 with a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 9728.657894
Deduct 152 from 180 and we're left 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 13:
280 divided by 38 is 7 with a remainder of 14.
The next digit of our result is 7. 
Result so far: 9728.6578947
The remainder is 14 after subtracting 266 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 14:
38 can be fit into 140 3 times, resulting in a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 9728.65789473
Subtracting 114 from 140 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final result is 9728.65789473 with a remainder of 2.6e-08.