We divide 103690 by 90
We're looking to find how many times 90 goes into 103690.

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
Subtract 0 from 1 to get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 90

On to step 2:
90 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Fetch the next digit (3) from the dividend, attach it to 10 and continue: 103 / 90

Moving on to step 3:
When dividing 103 by 90, we get 1 with a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 90 away from 103, we end up with 13.
Take the next digit (6) from the dividend and append it to 13, then repeat: 136 / 90

Advancing to step 4:
136 divided by 90 is 1 with a remainder of 46.
The next digit of our result is 1. 
Result so far: 11.0
Subtracting 90 from 136 leaves us with 46.
Take the next digit (9) from the dividend and append it to 46, then repeat: 469 / 90

On to step 5:
90 can be fit into 469 5 times, resulting in a remainder of 19.
The number 5 becomes the next digit in our result. 
Result so far: 115.0
If we subtract 450 from 469, we get 19.
Grab the next digit (0) from the dividend, add it to 19, then carry on: 190 / 90

On to step 6:
190 divided by 90 is 2 with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 1152.0
If we subtract 180 from 190, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 7:
90 goes into 100 1 times with a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 1152.1
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
The number 90 fits into 100 1 times, leaving a remainder of 10.
The next digit of our result is 1. 
Result so far: 1152.11
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 1152.11 and a remainder of 0.01.