We look at the division of 420251 by 29 
We want to divide 420251 by 29.

On to step 1:
The number 29 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 29

Step 2:
42 divided by 29 is 1 with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 13 after subtracting 29 from 42.
Include the next digit (0) from the dividend after 13, then repeat: 130 / 29

Going ahead to step 3:
29 can be fit into 130 4 times, resulting in a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Deduct 116 from 130 and we're left with 14.
Include the next digit (2) from the dividend after 14, then repeat: 142 / 29

Going ahead to step 4:
29 goes into 142 4 times with a remainder of 26.
The next digit of our result is 4. 
Result so far: 144.0
The remainder is 26 after subtracting 116 from 142.
Fetch the next digit (5) from the dividend, attach it to 26 and continue: 265 / 29

On to step 5:
29 can be fit into 265 9 times, resulting in a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 1449.0
Subtracting 261 from 265 leaves us with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 29

On to step 6:
29 goes into 41 1 times with a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 14491.0
If we subtract 29 from 41, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 7:
The number 29 fits into 120 4 times, leaving a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 14491.4
The remainder is 4 after subtracting 116 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
40 divided by 29 is 1 with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 14491.41
The remainder is 11 after subtracting 29 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 9:
The number 29 fits into 110 3 times, leaving a remainder of 23.
The next digit of our result is 3. 
Result so far: 14491.413
The remainder is 23 after subtracting 87 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 10:
The number 29 fits into 230 7 times, leaving a remainder of 27.
Use 7 as the next digit of our solution. 
Result so far: 14491.4137
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.

Moving on to step 11:
When dividing 270 by 29, we get 9 with a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 14491.41379
The remainder is 9 after subtracting 261 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 12:
The number 29 fits into 90 3 times, leaving a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 14491.413793
The remainder is 3 after subtracting 87 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 13:
29 can be fit into 30 1 times, resulting in a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 14491.4137931
If we subtract 29 from 30, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 14:
29 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 14491.4137931
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 14491.4137931 with a remainder of 1e-08.