We look at the division of 136171 by 90 
We want to divide 136171 by 90.

Step 1:
1 divided by 90 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 90

Step 2:
13 divided by 90 is 0 with a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 13, we end up with 13.
Fetch the next digit (6) from the dividend, attach it to 13 and continue: 136 / 90

Advancing to step 3:
90 can be fit into 136 1 times, resulting in a remainder of 46.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 46 after subtracting 90 from 136.
Fetch the next digit (1) from the dividend, attach it to 46 and continue: 461 / 90

On to step 4:
If we divide 461 by 90, we get 5 and a remainder of 11.
The next digit of our result is 5. 
Result so far: 15.0
Deduct 450 from 461 and we're left with 11.
Include the next digit (7) from the dividend after 11, then repeat: 117 / 90

Going ahead to step 5:
117 divided by 90 is 1 with a remainder of 27.
Use 1 as the next digit of our solution. 
Result so far: 151.0
Deduct 90 from 117 and we're left with 27.
Grab the next digit (1) from the dividend, add it to 27, then carry on: 271 / 90

Moving on to step 6:
The number 90 fits into 271 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 1513.0
Subtracting 270 from 271 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
90 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 1513.0
Subtract 0 from 10 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:
90 can be fit into 100 1 times, resulting in a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 1513.01
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.

Going ahead to step 9:
When dividing 100 by 90, we get 1 with a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 1513.011
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.

In conclusion, the division gives 1513.011 with a balance of 0.001.