668676 ÷ 36 
We want to figure out the number of times 668676 can be divided by 36.

Advancing to step 1:
36 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 36

Going ahead to step 2:
36 goes into 66 1 times with a remainder of 30.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 36 from 66 leaves us with 30.
Append the next digit (8) from the dividend to 30 and continue with: 308 / 36

Let's proceed to step 3:
When dividing 308 by 36, we get 8 with a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
If we subtract 288 from 308, we get 20.
Bring next digit (6) of the dividend behind the 20 and repeat the process: 206 / 36

Going ahead to step 4:
If we divide 206 by 36, we get 5 and a remainder of 26.
Record the quotient 5 as the next digit in the result. 
Result so far: 185.0
If we subtract 180 from 206, we get 26.
Append the next digit (7) from the dividend to 26 and continue with: 267 / 36

Advancing to step 5:
36 goes into 267 7 times with a remainder of 15.
Put 7 as the next digit of the answer. 
Result so far: 1857.0
Deduct 252 from 267 and we're left with 15.
Grab the next digit (6) from the dividend, add it to 15, then carry on: 156 / 36

On to step 6:
36 can be fit into 156 4 times, resulting in a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 18574.0
Subtract 144 from 156 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 7:
120 divided by 36 is 3 with a remainder of 12.
Put 3 as the next digit of the answer. 
Result so far: 18574.3
If we take 108 away from 120, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 8:
36 can be fit into 120 3 times, resulting in a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 18574.33
The remainder is 12 after subtracting 108 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 18574.33 with a remainder of 0.012.