We look at the division of 137235 by 43 
We want to figure out the number of times 137235 can be divided by 43.

Going ahead to step 1:
43 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
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 / 43

Advancing to step 2:
If we divide 13 by 43, we get 0 and a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Include the next digit (7) from the dividend after 13, then repeat: 137 / 43

Step 3:
43 goes into 137 3 times with a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtracting 129 from 137 leaves us with 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 43

Advancing to step 4:
43 can be fit into 82 1 times, resulting in a remainder of 39.
The next digit of our result is 1. 
Result so far: 31.0
Subtract 43 from 82 to get 39.
Grab the next digit (3) from the dividend, add it to 39, then carry on: 393 / 43

Let's proceed to step 5:
When dividing 393 by 43, we get 9 with a remainder of 6.
The next digit of our result is 9. 
Result so far: 319.0
If we subtract 387 from 393, we get 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 43

Moving on to step 6:
When dividing 65 by 43, we get 1 with a remainder of 22.
The next digit of our result is 1. 
Result so far: 3191.0
If we take 43 away from 65, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 7:
The number 43 fits into 220 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 3191.5
If we subtract 215 from 220, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
50 divided by 43 is 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 3191.51
If we subtract 43 from 50, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 9:
The number 43 fits into 70 1 times, leaving a remainder of 27.
The number 1 becomes the next digit in our result. 
Result so far: 3191.511
Deduct 43 from 70 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

The final outcome is 3191.511, with a leftover of 0.0027.