We're dividing 379686 by 9 
Let's see how many times 9 fits into 379686.

Advancing to step 1:
If we divide 3 by 9, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 9

Step 2:
If we divide 37 by 9, we get 4 and a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtract 36 from 37 to get 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 9

Step 3:
19 divided by 9 is 2 with a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 42.0
Deduct 18 from 19 and we're left with 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 9

On to step 4:
When dividing 16 by 9, we get 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 421.0
Subtracting 9 from 16 leaves us with 7.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 9

Advancing to step 5:
The number 9 fits into 78 8 times, leaving a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 4218.0
The remainder is 6 after subtracting 72 from 78.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 9

Moving on to step 6:
If we divide 66 by 9, we get 7 and a remainder of 3.
The next digit of our result is 7. 
Result so far: 42187.0
Deduct 63 from 66 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
30 divided by 9 is 3 with a remainder of 3.
The next digit of our result is 3. 
Result so far: 42187.3
Subtracting 27 from 30 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 8:
9 can be fit into 30 3 times, resulting in a remainder of 3.
The next digit of our result is 3. 
Result so far: 42187.33
Subtracting 27 from 30 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final result is 42187.33 with a remainder of 0.003.