We look at the division of 13629275 by 709 
We're looking to find how many times 709 goes into 13629275.

Step 1:
709 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 709

Let's proceed to step 2:
709 goes into 13 0 times with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Append the next digit (6) from the dividend to 13 and continue with: 136 / 709

Moving on to step 3:
If we divide 136 by 709, we get 0 and a remainder of 136.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 136, we get 136.
Take the next digit (2) from the dividend and append it to 136, then repeat: 1362 / 709

Let's proceed to step 4:
The number 709 fits into 1362 1 times, leaving a remainder of 653.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 709 away from 1362, we end up with 653.
Append the next digit (9) from the dividend to 653 and continue with: 6539 / 709

Advancing to step 5:
If we divide 6539 by 709, we get 9 and a remainder of 158.
The next digit of our result is 9. 
Result so far: 19.0
If we subtract 6381 from 6539, we get 158.
Include the next digit (2) from the dividend after 158, then repeat: 1582 / 709

Advancing to step 6:
709 can be fit into 1582 2 times, resulting in a remainder of 164.
The number 2 becomes the next digit in our result. 
Result so far: 192.0
If we subtract 1418 from 1582, we get 164.
Append the next digit (7) from the dividend to 164 and continue with: 1647 / 709

On to step 7:
When dividing 1647 by 709, we get 2 with a remainder of 229.
Use 2 as the next digit of our solution. 
Result so far: 1922.0
If we subtract 1418 from 1647, we get 229.
Fetch the next digit (5) from the dividend, attach it to 229 and continue: 2295 / 709

Let's proceed to step 8:
709 goes into 2295 3 times with a remainder of 168.
Record the quotient 3 as the next digit in the result. 
Result so far: 19223.0
If we take 2127 away from 2295, we end up with 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

Let's proceed to step 9:
When dividing 1680 by 709, we get 2 with a remainder of 262.
The next digit of our result is 2. 
Result so far: 19223.2
Subtracting 1418 from 1680 leaves us with 262.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2620, and continue the process.

Let's proceed to step 10:
709 can be fit into 2620 3 times, resulting in a remainder of 493.
Use 3 as the next digit of our solution. 
Result so far: 19223.23
If we take 2127 away from 2620, we end up with 493.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4930, and continue the process.

On to step 11:
When dividing 4930 by 709, we get 6 with a remainder of 676.
Write down 6 as next digit of the result. 
Result so far: 19223.236
Deduct 4254 from 4930 and we're left with 676.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6760, and continue the process.

Going ahead to step 12:
6760 divided by 709 is 9 with a remainder of 379.
Record the quotient 9 as the next digit in the result. 
Result so far: 19223.2369
Subtract 6381 from 6760 to get 379.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3790, and continue the process.

Going ahead to step 13:
709 can be fit into 3790 5 times, resulting in a remainder of 245.
Record the quotient 5 as the next digit in the result. 
Result so far: 19223.23695
Subtracting 3545 from 3790 leaves us with 245.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2450, and continue the process.

On to step 14:
709 can be fit into 2450 3 times, resulting in a remainder of 323.
Put 3 as the next digit of the answer. 
Result so far: 19223.236953
The remainder is 323 after subtracting 2127 from 2450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3230, and continue the process.

Moving on to step 15:
709 can be fit into 3230 4 times, resulting in a remainder of 394.
Use 4 as the next digit of our solution. 
Result so far: 19223.2369534
Deduct 2836 from 3230 and we're left with 394.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3940, and continue the process.

Let's proceed to step 16:
709 goes into 3940 5 times with a remainder of 395.
Record the quotient 5 as the next digit in the result. 
Result so far: 19223.23695345
Deduct 3545 from 3940 and we're left with 395.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3950, and continue the process.

The final outcome is 19223.23695345, with a leftover of 3.95e-07.