We're dividing 668629 by 10 
We want to figure out the number of times 668629 can be divided by 10.

Moving on to step 1:
When dividing 6 by 10, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 10

On to step 2:
When dividing 66 by 10, we get 6 with a remainder of 6.
The next digit of our result is 6. 
Result so far: 6.0
Subtract 60 from 66 to get 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 10

Moving on to step 3:
10 goes into 68 6 times with a remainder of 8.
The next digit of our result is 6. 
Result so far: 66.0
If we take 60 away from 68, we end up with 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 10

Let's proceed to step 4:
If we divide 86 by 10, we get 8 and a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 668.0
Deduct 80 from 86 and we're left with 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 10

Step 5:
When dividing 62 by 10, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 6686.0
Deduct 60 from 62 and we're left with 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 10

Going ahead to step 6:
29 divided by 10 is 2 with a remainder of 9.
Use 2 as the next digit of our solution. 
Result so far: 66862.0
If we take 20 away from 29, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
When dividing 90 by 10, we get 9 with a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 66862.9
The remainder is 0 after subtracting 90 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
10 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 66862.9
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 9:
10 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 66862.9
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.

The quotient of the division is 66862.9, and the remainder is 0.0.