We're dividing 355157 by 95 
We're looking to find how many times 95 goes into 355157.

Moving on to step 1:
95 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 95

Moving on to step 2:
If we divide 35 by 95, we get 0 and a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 35, we end up with 35.
Grab the next digit (5) from the dividend, add it to 35, then carry on: 355 / 95

On to step 3:
355 divided by 95 is 3 with a remainder of 70.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtracting 285 from 355 leaves us with 70.
Bring next digit (1) of the dividend behind the 70 and repeat the process: 701 / 95

Moving on to step 4:
If we divide 701 by 95, we get 7 and a remainder of 36.
The next digit of our result is 7. 
Result so far: 37.0
If we take 665 away from 701, we end up with 36.
Append the next digit (5) from the dividend to 36 and continue with: 365 / 95

Advancing to step 5:
When dividing 365 by 95, we get 3 with a remainder of 80.
Use 3 as the next digit of our solution. 
Result so far: 373.0
Deduct 285 from 365 and we're left with 80.
Bring next digit (7) of the dividend behind the 80 and repeat the process: 807 / 95

Let's proceed to step 6:
The number 95 fits into 807 8 times, leaving a remainder of 47.
The next digit of our result is 8. 
Result so far: 3738.0
If we take 760 away from 807, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 7:
The number 95 fits into 470 4 times, leaving a remainder of 90.
The number 4 becomes the next digit in our result. 
Result so far: 3738.4
Subtract 380 from 470 to get 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

On to step 8:
95 goes into 900 9 times with a remainder of 45.
Put 9 as the next digit of the answer. 
Result so far: 3738.49
If we subtract 855 from 900, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 9:
If we divide 450 by 95, we get 4 and a remainder of 70.
The next digit of our result is 4. 
Result so far: 3738.494
Subtracting 380 from 450 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 10:
700 divided by 95 is 7 with a remainder of 35.
Put 7 as the next digit of the answer. 
Result so far: 3738.4947
Subtracting 665 from 700 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 11:
The number 95 fits into 350 3 times, leaving a remainder of 65.
Use 3 as the next digit of our solution. 
Result so far: 3738.49473
Subtract 285 from 350 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Step 12:
95 can be fit into 650 6 times, resulting in a remainder of 80.
Record the quotient 6 as the next digit in the result. 
Result so far: 3738.494736
If we subtract 570 from 650, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 13:
The number 95 fits into 800 8 times, leaving a remainder of 40.
Write down 8 as next digit of the result. 
Result so far: 3738.4947368
If we subtract 760 from 800, we 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.

On to step 14:
400 divided by 95 is 4 with a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 3738.49473684
If we take 380 away from 400, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 3738.49473684 with a balance of 2e-08.