We look at the division of 11629 by 18 
We're looking to find how many times 18 goes into 11629.

Going ahead to step 1:
18 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 18

Step 2:
18 goes into 11 0 times with a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Append the next digit (6) from the dividend to 11 and continue with: 116 / 18

On to step 3:
18 goes into 116 6 times with a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 108 from 116 leaves us with 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 18

Going ahead to step 4:
If we divide 82 by 18, we get 4 and a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 64.0
If we subtract 72 from 82, we get 10.
Grab the next digit (9) from the dividend, add it to 10, then carry on: 109 / 18

Let's proceed to step 5:
109 divided by 18 is 6 with a remainder of 1.
The next digit of our result is 6. 
Result so far: 646.0
If we subtract 108 from 109, 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.

Moving on to step 6:
When dividing 10 by 18, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 646.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 7:
18 goes into 100 5 times with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 646.05
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
100 divided by 18 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 646.055
If we take 90 away from 100, we end up 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.

After the division, we end up with 646.055 and a remainder of 0.001.