We look at the division of 354341 by 29 
We're looking to find how many times 29 goes into 354341.

Moving on to step 1:
If we divide 3 by 29, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 29

On to step 2:
35 divided by 29 is 1 with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 29 from 35 and we're left with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 29

On to step 3:
29 goes into 64 2 times with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Deduct 58 from 64 and we're left with 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 29

Advancing to step 4:
If we divide 63 by 29, we get 2 and a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 122.0
Subtract 58 from 63 to get 5.
Fetch the next digit (4) from the dividend, attach it to 5 and continue: 54 / 29

On to step 5:
If we divide 54 by 29, we get 1 and a remainder of 25.
The number 1 becomes the next digit in our result. 
Result so far: 1221.0
If we subtract 29 from 54, we get 25.
Append the next digit (1) from the dividend to 25 and continue with: 251 / 29

On to step 6:
251 divided by 29 is 8 with a remainder of 19.
Put 8 as the next digit of the answer. 
Result so far: 12218.0
Subtract 232 from 251 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 7:
190 divided by 29 is 6 with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 12218.6
The remainder is 16 after subtracting 174 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 8:
If we divide 160 by 29, we get 5 and a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 12218.65
Subtracting 145 from 160 leaves us 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.

Let's proceed to step 9:
29 can be fit into 150 5 times, resulting in a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 12218.655
Subtract 145 from 150 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final outcome is 12218.655, with a leftover of 0.0005.