135188 ÷ 46 
Our goal is to divide 135188 by 46.

Going ahead to step 1:
46 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 46

Moving on to step 2:
The number 46 fits into 13 0 times, leaving 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 (5) from the dividend after 13, then repeat: 135 / 46

On to step 3:
46 goes into 135 2 times with a remainder of 43.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 92 from 135, we get 43.
Grab the next digit (1) from the dividend, add it to 43, then carry on: 431 / 46

Let's proceed to step 4:
46 can be fit into 431 9 times, resulting in a remainder of 17.
The number 9 becomes the next digit in our result. 
Result so far: 29.0
If we subtract 414 from 431, we get 17.
Fetch the next digit (8) from the dividend, attach it to 17 and continue: 178 / 46

Going ahead to step 5:
The number 46 fits into 178 3 times, leaving a remainder of 40.
Write down 3 as next digit of the result. 
Result so far: 293.0
Deduct 138 from 178 and we're left with 40.
Include the next digit (8) from the dividend after 40, then repeat: 408 / 46

Let's proceed to step 6:
The number 46 fits into 408 8 times, leaving a remainder of 40.
The next digit of our result is 8. 
Result so far: 2938.0
Subtracting 368 from 408 leaves us 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.

Let's proceed to step 7:
400 divided by 46 is 8 with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 2938.8
If we take 368 away from 400, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 8:
320 divided by 46 is 6 with a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 2938.86
If we subtract 276 from 320, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 9:
If we divide 440 by 46, we get 9 and a remainder of 26.
Record the quotient 9 as the next digit in the result. 
Result so far: 2938.869
If we take 414 away from 440, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 10:
46 goes into 260 5 times with a remainder of 30.
The next digit of our result is 5. 
Result so far: 2938.8695
Subtracting 230 from 260 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 11:
When dividing 300 by 46, we get 6 with a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 2938.86956
Subtract 276 from 300 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 12:
When dividing 240 by 46, we get 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 2938.869565
If we subtract 230 from 240, 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.

Let's proceed to step 13:
When dividing 100 by 46, we get 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 2938.8695652
The remainder is 8 after subtracting 92 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 14:
The number 46 fits into 80 1 times, leaving a remainder of 34.
The next digit of our result is 1. 
Result so far: 2938.86956521
Deduct 46 from 80 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The final outcome is 2938.86956521, with a leftover of 3.4e-08.