We're dividing 345938 by 95 
We want to divide 345938 by 95.

Step 1:
If we divide 3 by 95, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 95

Advancing to step 2:
If we divide 34 by 95, we get 0 and a remainder of 34.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Bring next digit (5) of the dividend behind the 34 and repeat the process: 345 / 95

Moving on to step 3:
The number 95 fits into 345 3 times, leaving a remainder of 60.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 285 from 345 leaves us with 60.
Append the next digit (9) from the dividend to 60 and continue with: 609 / 95

Moving on to step 4:
If we divide 609 by 95, we get 6 and a remainder of 39.
Put 6 as the next digit of the answer. 
Result so far: 36.0
If we subtract 570 from 609, we get 39.
Append the next digit (3) from the dividend to 39 and continue with: 393 / 95

Let's proceed to step 5:
95 goes into 393 4 times with a remainder of 13.
The number 4 becomes the next digit in our result. 
Result so far: 364.0
If we take 380 away from 393, we end up with 13.
Take the next digit (8) from the dividend and append it to 13, then repeat: 138 / 95

Advancing to step 6:
95 can be fit into 138 1 times, resulting in a remainder of 43.
Record the quotient 1 as the next digit in the result. 
Result so far: 3641.0
The remainder is 43 after subtracting 95 from 138.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 7:
95 goes into 430 4 times with a remainder of 50.
The next digit of our result is 4. 
Result so far: 3641.4
The remainder is 50 after subtracting 380 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 8:
95 can be fit into 500 5 times, resulting in a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 3641.45
Subtracting 475 from 500 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 9:
95 can be fit into 250 2 times, resulting in a remainder of 60.
The number 2 becomes the next digit in our result. 
Result so far: 3641.452
The remainder is 60 after subtracting 190 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 10:
95 can be fit into 600 6 times, resulting in a remainder of 30.
The next digit of our result is 6. 
Result so far: 3641.4526
If we subtract 570 from 600, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 11:
When dividing 300 by 95, we get 3 with a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 3641.45263
Subtract 285 from 300 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 12:
150 divided by 95 is 1 with a remainder of 55.
The next digit of our result is 1. 
Result so far: 3641.452631
If we take 95 away from 150, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 13:
The number 95 fits into 550 5 times, leaving a remainder of 75.
Write down 5 as next digit of the result. 
Result so far: 3641.4526315
Subtract 475 from 550 to get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Going ahead to step 14:
95 goes into 750 7 times with a remainder of 85.
Record the quotient 7 as the next digit in the result. 
Result so far: 3641.45263157
Deduct 665 from 750 and we're left with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

In conclusion, the division gives 3641.45263157 with a balance of 8.5e-08.