We look at the division of 876628 by 12 
We're looking to find how many times 12 goes into 876628.

Moving on to step 1:
12 goes into 8 0 times with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 12

On to step 2:
12 can be fit into 87 7 times, resulting in a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 84 from 87 and we're left with 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 12

Step 3:
12 can be fit into 36 3 times, resulting in a remainder of 0.
The next digit of our result is 3. 
Result so far: 73.0
Deduct 36 from 36 and we're left with 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 12

Moving on to step 4:
When dividing 6 by 12, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 730.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 12

Moving on to step 5:
62 divided by 12 is 5 with a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 7305.0
Subtract 60 from 62 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 12

Moving on to step 6:
12 goes into 28 2 times with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 73052.0
Deduct 24 from 28 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 7:
40 divided by 12 is 3 with a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 73052.3
Subtract 36 from 40 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 8:
12 goes into 40 3 times with a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 73052.33
Subtracting 36 from 40 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 73052.33 with a remainder of 0.004.