We're dividing 10938650 by 90 
We want to figure out the number of times 10938650 can be divided by 90.

Let's proceed to step 1:
When dividing 1 by 90, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 90

Moving on to step 2:
The number 90 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Append the next digit (9) from the dividend to 10 and continue with: 109 / 90

Going ahead to step 3:
If we divide 109 by 90, we get 1 and a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 90 from 109, we get 19.
Include the next digit (3) from the dividend after 19, then repeat: 193 / 90

Moving on to step 4:
193 divided by 90 is 2 with a remainder of 13.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtract 180 from 193 to get 13.
Include the next digit (8) from the dividend after 13, then repeat: 138 / 90

Let's proceed to step 5:
90 goes into 138 1 times with a remainder of 48.
Record the quotient 1 as the next digit in the result. 
Result so far: 121.0
The remainder is 48 after subtracting 90 from 138.
Fetch the next digit (6) from the dividend, attach it to 48 and continue: 486 / 90

Going ahead to step 6:
90 goes into 486 5 times with a remainder of 36.
The number 5 becomes the next digit in our result. 
Result so far: 1215.0
If we subtract 450 from 486, we get 36.
Fetch the next digit (5) from the dividend, attach it to 36 and continue: 365 / 90

Step 7:
The number 90 fits into 365 4 times, leaving a remainder of 5.
The number 4 becomes the next digit in our result. 
Result so far: 12154.0
Subtracting 360 from 365 leaves us with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 90

Let's proceed to step 8:
90 can be fit into 50 0 times, resulting in a remainder of 50.
The next digit of our result is 0. 
Result so far: 121540.0
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 9:
90 can be fit into 500 5 times, resulting in a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 121540.5
Subtract 450 from 500 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 10:
90 goes into 500 5 times with a remainder of 50.
The next digit of our result is 5. 
Result so far: 121540.55
If we subtract 450 from 500, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final outcome is 121540.55, with a leftover of 0.05.