We look at the division of 35369 by 29 
Our goal is to divide 35369 by 29.

On to step 1:
The number 29 fits into 3 0 times, leaving 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.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 29

Going ahead to step 2:
The number 29 fits into 35 1 times, leaving a remainder of 6.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 29 from 35, we get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 29

Let's proceed to step 3:
When dividing 63 by 29, we get 2 with a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Deduct 58 from 63 and we're left with 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 29

Going ahead to step 4:
29 can be fit into 56 1 times, resulting in a remainder of 27.
Put 1 as the next digit of the answer. 
Result so far: 121.0
If we subtract 29 from 56, we get 27.
Take the next digit (9) from the dividend and append it to 27, then repeat: 279 / 29

Going ahead to step 5:
29 goes into 279 9 times with a remainder of 18.
The next digit of our result is 9. 
Result so far: 1219.0
Deduct 261 from 279 and we're left with 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 6:
When dividing 180 by 29, we get 6 with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 1219.6
Deduct 174 from 180 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
60 divided by 29 is 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 1219.62
Deduct 58 from 60 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
29 goes into 20 0 times with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 1219.62
Subtracting 0 from 20 leaves us 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.

Moving on to step 9:
200 divided by 29 is 6 with a remainder of 26.
Put 6 as the next digit of the answer. 
Result so far: 1219.6206
Subtract 174 from 200 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 10:
29 can be fit into 260 8 times, resulting in a remainder of 28.
The next digit of our result is 8. 
Result so far: 1219.62068
If we take 232 away from 260, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 11:
29 goes into 280 9 times with a remainder of 19.
Write down 9 as next digit of the result. 
Result so far: 1219.620689
Subtracting 261 from 280 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 12:
If we divide 190 by 29, we get 6 and a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 1219.6206896
Deduct 174 from 190 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 13:
If we divide 160 by 29, we get 5 and a remainder of 15.
The next digit of our result is 5. 
Result so far: 1219.62068965
Deduct 145 from 160 and we're left 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.

The final result is 1219.62068965 with a remainder of 1.5e-08.