136642 ÷ 90 
We want to divide 136642 by 90.

Let's proceed to step 1:
90 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 90

Going ahead to step 2:
The number 90 fits into 13 0 times, leaving a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Grab the next digit (6) from the dividend, add it to 13, then carry on: 136 / 90

On to step 3:
If we divide 136 by 90, we get 1 and a remainder of 46.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 90 away from 136, we end up with 46.
Fetch the next digit (6) from the dividend, attach it to 46 and continue: 466 / 90

Moving on to step 4:
If we divide 466 by 90, we get 5 and a remainder of 16.
Write down 5 as next digit of the result. 
Result so far: 15.0
Subtract 450 from 466 to get 16.
Append the next digit (4) from the dividend to 16 and continue with: 164 / 90

Going ahead to step 5:
90 can be fit into 164 1 times, resulting in a remainder of 74.
The number 1 becomes the next digit in our result. 
Result so far: 151.0
If we subtract 90 from 164, we get 74.
Append the next digit (2) from the dividend to 74 and continue with: 742 / 90

On to step 6:
If we divide 742 by 90, we get 8 and a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 1518.0
If we subtract 720 from 742, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 7:
When dividing 220 by 90, we get 2 with a remainder of 40.
Put 2 as the next digit of the answer. 
Result so far: 1518.2
If we take 180 away from 220, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
90 goes into 400 4 times with a remainder of 40.
The next digit of our result is 4. 
Result so far: 1518.24
Subtract 360 from 400 to 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.

Advancing to step 9:
When dividing 400 by 90, we get 4 with a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 1518.244
Deduct 360 from 400 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Our division results in 1518.244 with a remaining 0.004.