We're dividing 39338 by 29 
We want to figure out the number of times 39338 can be divided by 29.

Going ahead to step 1:
When dividing 3 by 29, we get 0 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 (9) from the dividend, add it to 3, then carry on: 39 / 29

On to step 2:
29 goes into 39 1 times with a remainder of 10.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 29 from 39 and we're left with 10.
Take the next digit (3) from the dividend and append it to 10, then repeat: 103 / 29

Let's proceed to step 3:
29 goes into 103 3 times with a remainder of 16.
The next digit of our result is 3. 
Result so far: 13.0
The remainder is 16 after subtracting 87 from 103.
Fetch the next digit (3) from the dividend, attach it to 16 and continue: 163 / 29

Advancing to step 4:
When dividing 163 by 29, we get 5 with a remainder of 18.
The next digit of our result is 5. 
Result so far: 135.0
Deduct 145 from 163 and we're left with 18.
Append the next digit (8) from the dividend to 18 and continue with: 188 / 29

Moving on to step 5:
29 goes into 188 6 times with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 1356.0
The remainder is 14 after subtracting 174 from 188.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 6:
29 goes into 140 4 times with a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 1356.4
Deduct 116 from 140 and we're left with 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 7:
29 can be fit into 240 8 times, resulting in a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 1356.48
Deduct 232 from 240 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 8:
29 can be fit into 80 2 times, resulting in a remainder of 22.
The number 2 becomes the next digit in our result. 
Result so far: 1356.482
If we subtract 58 from 80, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 9:
If we divide 220 by 29, we get 7 and a remainder of 17.
The next digit of our result is 7. 
Result so far: 1356.4827
The remainder is 17 after subtracting 203 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 10:
170 divided by 29 is 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 1356.48275
If we subtract 145 from 170, we get 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 11:
If we divide 250 by 29, we get 8 and a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 1356.482758
If we subtract 232 from 250, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 12:
The number 29 fits into 180 6 times, leaving a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 1356.4827586
If we subtract 174 from 180, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 13:
When dividing 60 by 29, we get 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 1356.48275862
The remainder is 2 after subtracting 58 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 1356.48275862 and a remainder of 2e-09.