We're dividing 35626 by 12 
We want to figure out the number of times 35626 can be divided by 12.

Moving on to step 1:
12 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 12

Going ahead to step 2:
12 goes into 35 2 times with a remainder of 11.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 24 from 35 and we're left with 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 12

Advancing to step 3:
12 goes into 116 9 times with a remainder of 8.
Use 9 as the next digit of our solution. 
Result so far: 29.0
The remainder is 8 after subtracting 108 from 116.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 12

Step 4:
The number 12 fits into 82 6 times, leaving a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 296.0
Subtracting 72 from 82 leaves us with 10.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 12

Going ahead to step 5:
12 goes into 106 8 times with a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 2968.0
If we take 96 away from 106, we end up 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.

Let's proceed to step 6:
When dividing 100 by 12, we get 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 2968.8
If we subtract 96 from 100, 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.

On to step 7:
The number 12 fits into 40 3 times, leaving a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 2968.83
Deduct 36 from 40 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.

Step 8:
12 can be fit into 40 3 times, resulting in a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 2968.833
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 2968.833 with a remainder of 0.0004.