We look at the division of 129542 by 29 
We want to figure out the number of times 129542 can be divided by 29.

Step 1:
29 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 29

On to step 2:
29 goes into 12 0 times with a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Grab the next digit (9) from the dividend, add it to 12, then carry on: 129 / 29

Going ahead to step 3:
29 goes into 129 4 times with a remainder of 13.
The next digit of our result is 4. 
Result so far: 4.0
If we subtract 116 from 129, we get 13.
Grab the next digit (5) from the dividend, add it to 13, then carry on: 135 / 29

Let's proceed to step 4:
If we divide 135 by 29, we get 4 and a remainder of 19.
Use 4 as the next digit of our solution. 
Result so far: 44.0
If we subtract 116 from 135, we get 19.
Append the next digit (4) from the dividend to 19 and continue with: 194 / 29

Step 5:
29 can be fit into 194 6 times, resulting in a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 446.0
Deduct 174 from 194 and we're left with 20.
Include the next digit (2) from the dividend after 20, then repeat: 202 / 29

On to step 6:
If we divide 202 by 29, we get 6 and a remainder of 28.
The next digit of our result is 6. 
Result so far: 4466.0
If we subtract 174 from 202, we get 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 7:
When dividing 280 by 29, we get 9 with a remainder of 19.
The next digit of our result is 9. 
Result so far: 4466.9
Subtract 261 from 280 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 8:
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: 4466.96
If we take 174 away from 190, we end up 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.

Let's proceed to step 9:
29 can be fit into 160 5 times, resulting in a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 4466.965
If we subtract 145 from 160, we 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.

Let's proceed to step 10:
29 goes into 150 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 4466.9655
The remainder is 5 after subtracting 145 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 4466.9655, and the remainder is 5e-05.