669859 ÷ 66 
We're looking to find how many times 66 goes into 669859.

Step 1:
6 divided by 66 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 66

Going ahead to step 2:
When dividing 66 by 66, we get 1 with a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 66 from 66 to get 0.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 66

Going ahead to step 3:
When dividing 9 by 66, we get 0 with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we subtract 0 from 9, we get 9.
Grab the next digit (8) from the dividend, add it to 9, then carry on: 98 / 66

Moving on to step 4:
66 can be fit into 98 1 times, resulting in a remainder of 32.
The number 1 becomes the next digit in our result. 
Result so far: 101.0
Deduct 66 from 98 and we're left with 32.
Append the next digit (5) from the dividend to 32 and continue with: 325 / 66

On to step 5:
66 goes into 325 4 times with a remainder of 61.
The number 4 becomes the next digit in our result. 
Result so far: 1014.0
If we subtract 264 from 325, we get 61.
Bring next digit (9) of the dividend behind the 61 and repeat the process: 619 / 66

Step 6:
66 can be fit into 619 9 times, resulting in a remainder of 25.
Record the quotient 9 as the next digit in the result. 
Result so far: 10149.0
Subtracting 594 from 619 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 7:
If we divide 250 by 66, we get 3 and a remainder of 52.
Use 3 as the next digit of our solution. 
Result so far: 10149.3
If we take 198 away from 250, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 8:
If we divide 520 by 66, we get 7 and a remainder of 58.
The number 7 becomes the next digit in our result. 
Result so far: 10149.37
Subtract 462 from 520 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 9:
When dividing 580 by 66, we get 8 with a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 10149.378
If we subtract 528 from 580, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 10:
When dividing 520 by 66, we get 7 with a remainder of 58.
Write down 7 as next digit of the result. 
Result so far: 10149.3787
Subtracting 462 from 520 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 11:
66 can be fit into 580 8 times, resulting in a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 10149.37878
If we subtract 528 from 580, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 12:
When dividing 520 by 66, we get 7 with a remainder of 58.
The next digit of our result is 7. 
Result so far: 10149.378787
Deduct 462 from 520 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 13:
When dividing 580 by 66, we get 8 with a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 10149.3787878
Deduct 528 from 580 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 14:
When dividing 520 by 66, we get 7 with a remainder of 58.
The next digit of our result is 7. 
Result so far: 10149.37878787
The remainder is 58 after subtracting 462 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

The final result is 10149.37878787 with a remainder of 5.8e-08.