379578 divided by 9 
We're looking to find how many times 9 goes into 379578.

Advancing to step 1:
3 divided by 9 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 9

Going ahead to step 2:
The number 9 fits into 37 4 times, leaving a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 36 from 37 and we're left with 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 9

Advancing to step 3:
9 goes into 19 2 times with a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 42.0
If we subtract 18 from 19, we get 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 9

Let's proceed to step 4:
9 can be fit into 15 1 times, resulting in a remainder of 6.
The next digit of our result is 1. 
Result so far: 421.0
Subtracting 9 from 15 leaves us with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 9

Going ahead to step 5:
67 divided by 9 is 7 with a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 4217.0
If we subtract 63 from 67, we get 4.
Take the next digit (8) from the dividend and append it to 4, then repeat: 48 / 9

On to step 6:
48 divided by 9 is 5 with a remainder of 3.
The next digit of our result is 5. 
Result so far: 42175.0
Subtracting 45 from 48 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.

Step 7:
The number 9 fits into 30 3 times, leaving a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 42175.3
If we take 27 away from 30, we end up 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.

Advancing to step 8:
30 divided by 9 is 3 with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 42175.33
If we subtract 27 from 30, we get 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 quotient of the division is 42175.33, and the remainder is 0.003.