We're dividing 669589 by 10 
We're looking to find how many times 10 goes into 669589.

Let's proceed to step 1:
6 divided by 10 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 10

Going ahead to step 2:
66 divided by 10 is 6 with a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 6 after subtracting 60 from 66.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 10

On to step 3:
10 can be fit into 69 6 times, resulting in a remainder of 9.
Use 6 as the next digit of our solution. 
Result so far: 66.0
Subtract 60 from 69 to get 9.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 10

On to step 4:
10 goes into 95 9 times with a remainder of 5.
The next digit of our result is 9. 
Result so far: 669.0
If we take 90 away from 95, we end up with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 10

Let's proceed to step 5:
10 goes into 58 5 times with a remainder of 8.
Write down 5 as next digit of the result. 
Result so far: 6695.0
If we subtract 50 from 58, we get 8.
Include the next digit (9) from the dividend after 8, then repeat: 89 / 10

Advancing to step 6:
10 can be fit into 89 8 times, resulting in a remainder of 9.
The next digit of our result is 8. 
Result so far: 66958.0
The remainder is 9 after subtracting 80 from 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 7:
When dividing 90 by 10, we get 9 with a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 66958.9
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:
If we divide 0 by 10, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 66958.9
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.

Going ahead to step 9:
The number 10 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 66958.9
Subtract 0 from 0 to 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 final outcome is 66958.9, with a leftover of 0.0.