338338 ÷ 95 
Our goal is to divide 338338 by 95.

Going ahead to step 1:
95 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 95

Step 2:
When dividing 33 by 95, we get 0 with a remainder of 33.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 33, we end up with 33.
Bring next digit (8) of the dividend behind the 33 and repeat the process: 338 / 95

Let's proceed to step 3:
The number 95 fits into 338 3 times, leaving a remainder of 53.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 285 from 338 and we're left with 53.
Bring next digit (3) of the dividend behind the 53 and repeat the process: 533 / 95

Advancing to step 4:
When dividing 533 by 95, we get 5 with a remainder of 58.
Put 5 as the next digit of the answer. 
Result so far: 35.0
If we take 475 away from 533, we end up with 58.
Include the next digit (3) from the dividend after 58, then repeat: 583 / 95

Going ahead to step 5:
If we divide 583 by 95, we get 6 and a remainder of 13.
The number 6 becomes the next digit in our result. 
Result so far: 356.0
If we subtract 570 from 583, we get 13.
Grab the next digit (8) from the dividend, add it to 13, then carry on: 138 / 95

Moving on to step 6:
The number 95 fits into 138 1 times, leaving a remainder of 43.
The next digit of our result is 1. 
Result so far: 3561.0
Deduct 95 from 138 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 7:
When dividing 430 by 95, we get 4 with a remainder of 50.
The number 4 becomes the next digit in our result. 
Result so far: 3561.4
If we take 380 away from 430, 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.

Let's proceed to step 8:
When dividing 500 by 95, we get 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 3561.45
If we take 475 away from 500, we end up 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.

Step 9:
250 divided by 95 is 2 with a remainder of 60.
Record the quotient 2 as the next digit in the result. 
Result so far: 3561.452
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.

Going ahead to step 10:
If we divide 600 by 95, we get 6 and a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 3561.4526
If we take 570 away from 600, we end up 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.

Step 11:
When dividing 300 by 95, we get 3 with a remainder of 15.
The next digit of our result is 3. 
Result so far: 3561.45263
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:
When dividing 150 by 95, we get 1 with a remainder of 55.
Put 1 as the next digit of the answer. 
Result so far: 3561.452631
If we subtract 95 from 150, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 13:
95 can be fit into 550 5 times, resulting in a remainder of 75.
Record the quotient 5 as the next digit in the result. 
Result so far: 3561.4526315
Deduct 475 from 550 and we're left with 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:
When dividing 750 by 95, we get 7 with a remainder of 85.
Record the quotient 7 as the next digit in the result. 
Result so far: 3561.45263157
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.

The quotient of the division is 3561.45263157, and the remainder is 8.5e-08.