We're dividing 17211021 by 629 
Our goal is to divide 17211021 by 629.

Going ahead to step 1:
If we divide 1 by 629, we get 0 and 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 (7) from the dividend, add it to 1, then carry on: 17 / 629

Step 2:
629 goes into 17 0 times with a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Bring next digit (2) of the dividend behind the 17 and repeat the process: 172 / 629

Going ahead to step 3:
If we divide 172 by 629, we get 0 and a remainder of 172.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 172 to get 172.
Grab the next digit (1) from the dividend, add it to 172, then carry on: 1721 / 629

Step 4:
629 goes into 1721 2 times with a remainder of 463.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 1258 from 1721 to get 463.
Append the next digit (1) from the dividend to 463 and continue with: 4631 / 629

Let's proceed to step 5:
When dividing 4631 by 629, we get 7 with a remainder of 228.
The next digit of our result is 7. 
Result so far: 27.0
Subtract 4403 from 4631 to get 228.
Grab the next digit (0) from the dividend, add it to 228, then carry on: 2280 / 629

Advancing to step 6:
629 goes into 2280 3 times with a remainder of 393.
Use 3 as the next digit of our solution. 
Result so far: 273.0
Subtracting 1887 from 2280 leaves us with 393.
Append the next digit (2) from the dividend to 393 and continue with: 3932 / 629

On to step 7:
If we divide 3932 by 629, we get 6 and a remainder of 158.
Write down 6 as next digit of the result. 
Result so far: 2736.0
Deduct 3774 from 3932 and we're left with 158.
Fetch the next digit (1) from the dividend, attach it to 158 and continue: 1581 / 629

Moving on to step 8:
The number 629 fits into 1581 2 times, leaving a remainder of 323.
Record the quotient 2 as the next digit in the result. 
Result so far: 27362.0
If we take 1258 away from 1581, we end up with 323.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3230, and continue the process.

Step 9:
If we divide 3230 by 629, we get 5 and a remainder of 85.
Put 5 as the next digit of the answer. 
Result so far: 27362.5
Subtracting 3145 from 3230 leaves us with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Going ahead to step 10:
850 divided by 629 is 1 with a remainder of 221.
Record the quotient 1 as the next digit in the result. 
Result so far: 27362.51
Deduct 629 from 850 and we're left with 221.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2210, and continue the process.

Let's proceed to step 11:
When dividing 2210 by 629, we get 3 with a remainder of 323.
The number 3 becomes the next digit in our result. 
Result so far: 27362.513
The remainder is 323 after subtracting 1887 from 2210.
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 12:
629 can be fit into 3230 5 times, resulting in a remainder of 85.
Use 5 as the next digit of our solution. 
Result so far: 27362.5135
The remainder is 85 after subtracting 3145 from 3230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Going ahead to step 13:
The number 629 fits into 850 1 times, leaving a remainder of 221.
The number 1 becomes the next digit in our result. 
Result so far: 27362.51351
Subtract 629 from 850 to get 221.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2210, and continue the process.

Advancing to step 14:
If we divide 2210 by 629, we get 3 and a remainder of 323.
Use 3 as the next digit of our solution. 
Result so far: 27362.513513
Subtract 1887 from 2210 to get 323.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3230, and continue the process.

Let's proceed to step 15:
The number 629 fits into 3230 5 times, leaving a remainder of 85.
Use 5 as the next digit of our solution. 
Result so far: 27362.5135135
The remainder is 85 after subtracting 3145 from 3230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Let's proceed to step 16:
When dividing 850 by 629, we get 1 with a remainder of 221.
Write down 1 as next digit of the result. 
Result so far: 27362.51351351
If we take 629 away from 850, we end up with 221.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2210, and continue the process.

The final outcome is 27362.51351351, with a leftover of 2.21e-07.