We're dividing 105606 by 8 
We want to divide 105606 by 8.

Moving on to step 1:
8 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
If we subtract 0 from 1, we get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 8

Advancing to step 2:
If we divide 10 by 8, we get 1 and a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 8 away from 10, we end up with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 8

Let's proceed to step 3:
8 goes into 25 3 times with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 13.0
If we subtract 24 from 25, we get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 8

Step 4:
8 goes into 16 2 times with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 132.0
Subtracting 16 from 16 leaves us with 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 8

Advancing to step 5:
When dividing 0 by 8, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 1320.0
Deduct 0 from 0 and we're left with 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 8

Advancing to step 6:
When dividing 6 by 8, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 13200.0
If we take 0 away from 6, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
If we divide 60 by 8, we get 7 and a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 13200.7
The remainder is 4 after subtracting 56 from 60.
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 8:
40 divided by 8 is 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 13200.75
If we subtract 40 from 40, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
When dividing 0 by 8, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 13200.75
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
0 divided by 8 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 13200.75
The remainder is 0 after subtracting 0 from 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 13200.75, and the remainder is 0.0.