We look at the division of 105178 by 12 
We're looking to find how many times 12 goes into 105178.

Step 1:
If we divide 1 by 12, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 12

Step 2:
When dividing 10 by 12, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 12

Going ahead to step 3:
105 divided by 12 is 8 with a remainder of 9.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 96 away from 105, we end up with 9.
Include the next digit (1) from the dividend after 9, then repeat: 91 / 12

On to step 4:
91 divided by 12 is 7 with a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 87.0
Deduct 84 from 91 and we're left with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 12

Let's proceed to step 5:
When dividing 77 by 12, we get 6 with a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 876.0
Subtract 72 from 77 to get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 12

Step 6:
12 goes into 58 4 times with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 8764.0
Deduct 48 from 58 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
When dividing 100 by 12, we get 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 8764.8
Deduct 96 from 100 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.

Going ahead to step 8:
12 can be fit into 40 3 times, resulting in a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 8764.83
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.

On to step 9:
12 can be fit into 40 3 times, resulting in a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 8764.833
If we subtract 36 from 40, we 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.

Our division results in 8764.833 with a remaining 0.0004.