We look at the division of 10619 by 12 
We're looking to find how many times 12 goes into 10619.

On to step 1:
12 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 12

Moving on to step 2:
12 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 12

Going ahead to step 3:
The number 12 fits into 106 8 times, leaving a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtracting 96 from 106 leaves us with 10.
Take the next digit (1) from the dividend and append it to 10, then repeat: 101 / 12

Going ahead to step 4:
If we divide 101 by 12, we get 8 and a remainder of 5.
The next digit of our result is 8. 
Result so far: 88.0
If we take 96 away from 101, we end up with 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 12

Let's proceed to step 5:
12 goes into 59 4 times with a remainder of 11.
Use 4 as the next digit of our solution. 
Result so far: 884.0
The remainder is 11 after subtracting 48 from 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 6:
12 goes into 110 9 times with a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 884.9
Subtract 108 from 110 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
If we divide 20 by 12, we get 1 and a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 884.91
Deduct 12 from 20 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 8:
The number 12 fits into 80 6 times, leaving a remainder of 8.
The next digit of our result is 6. 
Result so far: 884.916
The remainder is 8 after subtracting 72 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
12 can be fit into 80 6 times, resulting in a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 884.9166
If we subtract 72 from 80, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 884.9166 with a remaining 8e-05.