We divide 379645 by 75
Our goal is to divide 379645 by 75.

Advancing to step 1:
If we divide 3 by 75, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 75

Moving on to step 2:
37 divided by 75 is 0 with a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 37 after subtracting 0 from 37.
Fetch the next digit (9) from the dividend, attach it to 37 and continue: 379 / 75

Going ahead to step 3:
75 goes into 379 5 times with a remainder of 4.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 4 after subtracting 375 from 379.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 75

Moving on to step 4:
The number 75 fits into 46 0 times, leaving a remainder of 46.
Write down 0 as next digit of the result. 
Result so far: 50.0
If we subtract 0 from 46, we get 46.
Append the next digit (4) from the dividend to 46 and continue with: 464 / 75

Step 5:
464 divided by 75 is 6 with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 506.0
If we take 450 away from 464, we end up with 14.
Grab the next digit (5) from the dividend, add it to 14, then carry on: 145 / 75

Let's proceed to step 6:
If we divide 145 by 75, we get 1 and a remainder of 70.
The number 1 becomes the next digit in our result. 
Result so far: 5061.0
Subtract 75 from 145 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 7:
When dividing 700 by 75, we get 9 with a remainder of 25.
Put 9 as the next digit of the answer. 
Result so far: 5061.9
The remainder is 25 after subtracting 675 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 8:
The number 75 fits into 250 3 times, leaving a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 5061.93
Deduct 225 from 250 and we're left 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.

Moving on to step 9:
75 can be fit into 250 3 times, resulting in a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 5061.933
Subtracting 225 from 250 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.

In conclusion, the division gives 5061.933 with a balance of 0.0025.