We look at the division of 956629 by 1 
Let's see how many times 1 fits into 956629.

Advancing to step 1:
The number 1 fits into 9 9 times, leaving a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
The remainder is 0 after subtracting 9 from 9.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 1

Moving on to step 2:
1 goes into 5 5 times with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 95.0
If we subtract 5 from 5, we get 0.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 1

Advancing to step 3:
When dividing 6 by 1, we get 6 with a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 956.0
If we take 6 away from 6, we end up with 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 1

Let's proceed to step 4:
If we divide 6 by 1, we get 6 and a remainder of 0.
The next digit of our result is 6. 
Result so far: 9566.0
The remainder is 0 after subtracting 6 from 6.
Append the next digit (2) from the dividend to 0 and continue with: 2 / 1

Going ahead to step 5:
1 goes into 2 2 times with a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 95662.0
If we take 2 away from 2, we end up with 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 1

Advancing to step 6:
If we divide 9 by 1, we get 9 and a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 956629.0
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.

Step 7:
When dividing 0 by 1, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 956629.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
When dividing 0 by 1, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 956629.0
Deduct 0 from 0 and we're left 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.

The quotient of the division is 956629.0, and the remainder is 0.0.