We divide 137863 by 90
We're looking to find how many times 90 goes into 137863.

Let's proceed to step 1:
When dividing 1 by 90, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 90

On to step 2:
90 goes into 13 0 times with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Fetch the next digit (7) from the dividend, attach it to 13 and continue: 137 / 90

Step 3:
When dividing 137 by 90, we get 1 with a remainder of 47.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 90 from 137 and we're left with 47.
Grab the next digit (8) from the dividend, add it to 47, then carry on: 478 / 90

Step 4:
When dividing 478 by 90, we get 5 with a remainder of 28.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
If we subtract 450 from 478, we get 28.
Append the next digit (6) from the dividend to 28 and continue with: 286 / 90

Step 5:
286 divided by 90 is 3 with a remainder of 16.
Use 3 as the next digit of our solution. 
Result so far: 153.0
Subtract 270 from 286 to get 16.
Grab the next digit (3) from the dividend, add it to 16, then carry on: 163 / 90

Let's proceed to step 6:
If we divide 163 by 90, we get 1 and a remainder of 73.
Put 1 as the next digit of the answer. 
Result so far: 1531.0
If we take 90 away from 163, we end up with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Step 7:
90 can be fit into 730 8 times, resulting in a remainder of 10.
Write down 8 as next digit of the result. 
Result so far: 1531.8
If we subtract 720 from 730, 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.

Advancing to step 8:
When dividing 100 by 90, we get 1 with a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 1531.81
The remainder is 10 after subtracting 90 from 100.
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:
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: 1531.811
If we subtract 90 from 100, 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.

The final result is 1531.811 with a remainder of 0.001.