We're dividing 681669 by 8 
Our goal is to divide 681669 by 8.

Let's proceed to step 1:
The number 8 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 8

Step 2:
If we divide 68 by 8, we get 8 and a remainder of 4.
The next digit of our result is 8. 
Result so far: 8.0
If we subtract 64 from 68, we get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 8

Step 3:
41 divided by 8 is 5 with a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 85.0
The remainder is 1 after subtracting 40 from 41.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 8

On to step 4:
8 can be fit into 16 2 times, resulting in a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 852.0
The remainder is 0 after subtracting 16 from 16.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 8

Advancing to step 5:
If we divide 6 by 8, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 8520.0
Subtract 0 from 6 to get 6.
Include the next digit (9) from the dividend after 6, then repeat: 69 / 8

Moving on to step 6:
8 can be fit into 69 8 times, resulting in a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 85208.0
Subtract 64 from 69 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
When dividing 50 by 8, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 85208.6
Deduct 48 from 50 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
8 can be fit into 20 2 times, resulting in a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 85208.62
The remainder is 4 after subtracting 16 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 9:
The number 8 fits into 40 5 times, leaving a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 85208.625
Deduct 40 from 40 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.

Moving on to step 10:
When dividing 0 by 8, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 85208.625
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.

Let's proceed to step 11:
8 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: 85208.625
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 85208.625, and the remainder is 0.0.