We look at the division of 353003 by 29 
Let's see how many times 29 fits into 353003.

Advancing to step 1:
If we divide 3 by 29, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 29

Let's proceed 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 take 29 away from 35, we end up with 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 29

Going ahead to step 3:
29 goes into 63 2 times with a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we take 58 away from 63, we end up with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 29

On to step 4:
If we divide 50 by 29, we get 1 and a remainder of 21.
The number 1 becomes the next digit in our result. 
Result so far: 121.0
Subtracting 29 from 50 leaves us with 21.
Fetch the next digit (0) from the dividend, attach it to 21 and continue: 210 / 29

Going ahead to step 5:
29 can be fit into 210 7 times, resulting in a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 1217.0
Deduct 203 from 210 and we're left with 7.
Append the next digit (3) from the dividend to 7 and continue with: 73 / 29

Moving on to step 6:
The number 29 fits into 73 2 times, leaving a remainder of 15.
Record the quotient 2 as the next digit in the result. 
Result so far: 12172.0
Subtract 58 from 73 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 7:
The number 29 fits into 150 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 12172.5
If we subtract 145 from 150, we 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.

Moving on to step 8:
If we divide 50 by 29, we get 1 and a remainder of 21.
Record the quotient 1 as the next digit in the result. 
Result so far: 12172.51
The remainder is 21 after subtracting 29 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 9:
29 can be fit into 210 7 times, resulting in a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 12172.517
Subtracting 203 from 210 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 10:
The number 29 fits into 70 2 times, leaving a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 12172.5172
If we take 58 away from 70, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 11:
If we divide 120 by 29, we get 4 and a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 12172.51724
Subtract 116 from 120 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
The number 29 fits into 40 1 times, leaving a remainder of 11.
The next digit of our result is 1. 
Result so far: 12172.517241
If we subtract 29 from 40, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 13:
The number 29 fits into 110 3 times, leaving a remainder of 23.
Write down 3 as next digit of the result. 
Result so far: 12172.5172413
If we take 87 away from 110, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 14:
29 can be fit into 230 7 times, resulting in a remainder of 27.
Write down 7 as next digit of the result. 
Result so far: 12172.51724137
The remainder is 27 after subtracting 203 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

After the division, we end up with 12172.51724137 and a remainder of 2.7e-08.