We look at the division of 100629 by 9 
Let's see how many times 9 fits into 100629.

Let's proceed to step 1:
When dividing 1 by 9, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 9

Let's proceed to step 2:
If we divide 10 by 9, we get 1 and a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 9 away from 10, we end up with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 9

Moving on to step 3:
10 divided by 9 is 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 11.0
If we take 9 away from 10, we end up with 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 9

Let's proceed to step 4:
9 goes into 16 1 times with a remainder of 7.
The next digit of our result is 1. 
Result so far: 111.0
Subtracting 9 from 16 leaves us with 7.
Take the next digit (2) from the dividend and append it to 7, then repeat: 72 / 9

Moving on to step 5:
72 divided by 9 is 8 with a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 1118.0
If we subtract 72 from 72, we get 0.
Include the next digit (9) from the dividend after 0, then repeat: 9 / 9

Going ahead to step 6:
9 goes into 9 1 times with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 11181.0
If we take 9 away from 9, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 7:
If we divide 0 by 9, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 11181.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
The number 9 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 11181.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 11181.0, and the remainder is 0.0.