We look at the division of 577857 by 38 
We want to divide 577857 by 38.

Advancing to step 1:
When dividing 5 by 38, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 38

Going ahead to step 2:
If we divide 57 by 38, we get 1 and a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 38 away from 57, we end up with 19.
Include the next digit (7) from the dividend after 19, then repeat: 197 / 38

On to step 3:
197 divided by 38 is 5 with a remainder of 7.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
Subtract 190 from 197 to get 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 38

Advancing to step 4:
If we divide 78 by 38, we get 2 and a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 152.0
If we subtract 76 from 78, we get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 38

Moving on to step 5:
When dividing 25 by 38, we get 0 with a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 1520.0
The remainder is 25 after subtracting 0 from 25.
Fetch the next digit (7) from the dividend, attach it to 25 and continue: 257 / 38

On to step 6:
38 goes into 257 6 times with a remainder of 29.
The number 6 becomes the next digit in our result. 
Result so far: 15206.0
If we subtract 228 from 257, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 7:
The number 38 fits into 290 7 times, leaving a remainder of 24.
The number 7 becomes the next digit in our result. 
Result so far: 15206.7
Subtracting 266 from 290 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 8:
The number 38 fits into 240 6 times, leaving a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 15206.76
Deduct 228 from 240 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 9:
120 divided by 38 is 3 with a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 15206.763
Subtract 114 from 120 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 10:
When dividing 60 by 38, we get 1 with a remainder of 22.
The next digit of our result is 1. 
Result so far: 15206.7631
If we take 38 away from 60, we end up 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.

On to step 11:
220 divided by 38 is 5 with a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 15206.76315
The remainder is 30 after subtracting 190 from 220.
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 12:
38 goes into 300 7 times with a remainder of 34.
The number 7 becomes the next digit in our result. 
Result so far: 15206.763157
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.

Let's proceed to step 13:
38 can be fit into 340 8 times, resulting in a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 15206.7631578
Subtracting 304 from 340 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 14:
If we divide 360 by 38, we get 9 and a remainder of 18.
Record the quotient 9 as the next digit in the result. 
Result so far: 15206.76315789
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.

In conclusion, the division gives 15206.76315789 with a balance of 1.8e-08.