We're dividing 90256638 by 103 
Our goal is to divide 90256638 by 103.

Advancing to step 1:
9 divided by 103 is 0 with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Fetch the next digit (0) from the dividend, attach it to 9 and continue: 90 / 103

Going ahead to step 2:
The number 103 fits into 90 0 times, leaving a remainder of 90.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 90 and we're left with 90.
Fetch the next digit (2) from the dividend, attach it to 90 and continue: 902 / 103

Advancing to step 3:
103 can be fit into 902 8 times, resulting in a remainder of 78.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
The remainder is 78 after subtracting 824 from 902.
Fetch the next digit (5) from the dividend, attach it to 78 and continue: 785 / 103

Step 4:
785 divided by 103 is 7 with a remainder of 64.
Put 7 as the next digit of the answer. 
Result so far: 87.0
Subtracting 721 from 785 leaves us with 64.
Append the next digit (6) from the dividend to 64 and continue with: 646 / 103

On to step 5:
The number 103 fits into 646 6 times, leaving a remainder of 28.
The number 6 becomes the next digit in our result. 
Result so far: 876.0
If we take 618 away from 646, we end up with 28.
Bring next digit (6) of the dividend behind the 28 and repeat the process: 286 / 103

Moving on to step 6:
286 divided by 103 is 2 with a remainder of 80.
Record the quotient 2 as the next digit in the result. 
Result so far: 8762.0
If we take 206 away from 286, we end up with 80.
Bring next digit (3) of the dividend behind the 80 and repeat the process: 803 / 103

Step 7:
103 can be fit into 803 7 times, resulting in a remainder of 82.
Record the quotient 7 as the next digit in the result. 
Result so far: 87627.0
Subtracting 721 from 803 leaves us with 82.
Grab the next digit (8) from the dividend, add it to 82, then carry on: 828 / 103

Moving on to step 8:
103 goes into 828 8 times with a remainder of 4.
The next digit of our result is 8. 
Result so far: 876278.0
Subtracting 824 from 828 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 9:
40 divided by 103 is 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 876278.0
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 10:
400 divided by 103 is 3 with a remainder of 91.
Record the quotient 3 as the next digit in the result. 
Result so far: 876278.03
Subtract 309 from 400 to get 91.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

Advancing to step 11:
910 divided by 103 is 8 with a remainder of 86.
Write down 8 as next digit of the result. 
Result so far: 876278.038
Subtracting 824 from 910 leaves us with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Let's proceed to step 12:
103 goes into 860 8 times with a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 876278.0388
If we subtract 824 from 860, we 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.

In conclusion, the division gives 876278.0388 with a balance of 0.00036.