338395 ÷ 95 
Our goal is to divide 338395 by 95.

Moving on to step 1:
95 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 95

Advancing to step 2:
The number 95 fits into 33 0 times, leaving a remainder of 33.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 33, we end up with 33.
Take the next digit (8) from the dividend and append it to 33, then repeat: 338 / 95

Let's proceed to step 3:
338 divided by 95 is 3 with a remainder of 53.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 285 from 338 to get 53.
Fetch the next digit (3) from the dividend, attach it to 53 and continue: 533 / 95

On to step 4:
95 goes into 533 5 times with a remainder of 58.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
Subtract 475 from 533 to get 58.
Take the next digit (9) from the dividend and append it to 58, then repeat: 589 / 95

Going ahead to step 5:
When dividing 589 by 95, we get 6 with a remainder of 19.
The number 6 becomes the next digit in our result. 
Result so far: 356.0
Deduct 570 from 589 and we're left with 19.
Bring next digit (5) of the dividend behind the 19 and repeat the process: 195 / 95

On to step 6:
195 divided by 95 is 2 with a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 3562.0
Deduct 190 from 195 and we're left with 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 7:
95 goes into 50 0 times with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 3562.0
If we take 0 away from 50, we end up with 50.
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:
When dividing 500 by 95, we get 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 3562.05
Deduct 475 from 500 and we're left 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.

On to step 9:
95 can be fit into 250 2 times, resulting in a remainder of 60.
The next digit of our result is 2. 
Result so far: 3562.052
Subtract 190 from 250 to get 60.
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:
When dividing 600 by 95, we get 6 with a remainder of 30.
The next digit of our result is 6. 
Result so far: 3562.0526
Subtracting 570 from 600 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.

Advancing to step 11:
When dividing 300 by 95, we get 3 with a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 3562.05263
If we take 285 away from 300, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 12:
150 divided by 95 is 1 with a remainder of 55.
Write down 1 as next digit of the result. 
Result so far: 3562.052631
Subtracting 95 from 150 leaves us 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:
95 goes into 550 5 times with a remainder of 75.
Use 5 as the next digit of our solution. 
Result so far: 3562.0526315
If we subtract 475 from 550, we 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.

Advancing to step 14:
95 goes into 750 7 times with a remainder of 85.
The next digit of our result is 7. 
Result so far: 3562.05263157
The remainder is 85 after subtracting 665 from 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

The final result is 3562.05263157 with a remainder of 8.5e-08.