We look at the division of 105629 by 17 
Our goal is to divide 105629 by 17.

Advancing to step 1:
17 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 17

Moving on to step 2:
The number 17 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 17

Moving on to step 3:
17 can be fit into 105 6 times, resulting in a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 102 away from 105, we end up with 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 17

Going ahead to step 4:
The number 17 fits into 36 2 times, leaving a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 62.0
Deduct 34 from 36 and we're left with 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 17

Step 5:
If we divide 22 by 17, we get 1 and a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 621.0
Deduct 17 from 22 and we're left with 5.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 17

Step 6:
The number 17 fits into 59 3 times, leaving a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 6213.0
Deduct 51 from 59 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
When dividing 80 by 17, we get 4 with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 6213.4
Deduct 68 from 80 and we're left 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.

Moving on to step 8:
When dividing 120 by 17, we get 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 6213.47
Subtracting 119 from 120 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 9:
17 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 6213.47
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 10:
When dividing 100 by 17, we get 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 6213.4705
Subtract 85 from 100 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.

Advancing to step 11:
17 can be fit into 150 8 times, resulting in a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 6213.47058
Deduct 136 from 150 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 12:
If we divide 140 by 17, we get 8 and a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 6213.470588
Subtracting 136 from 140 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 6213.470588 with a balance of 4e-07.