We divide 6106 by 8
We want to figure out the number of times 6106 can be divided by 8.

On to step 1:
If we divide 6 by 8, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 8

On to step 2:
61 divided by 8 is 7 with a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we subtract 56 from 61, we get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 8

Moving on to step 3:
If we divide 50 by 8, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
The remainder is 2 after subtracting 48 from 50.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 8

Step 4:
The number 8 fits into 26 3 times, leaving a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 763.0
Deduct 24 from 26 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 5:
8 goes into 20 2 times with a remainder of 4.
The next digit of our result is 2. 
Result so far: 763.2
If we subtract 16 from 20, 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.

Let's proceed to step 6:
When dividing 40 by 8, we get 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 763.25
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.

Moving on to step 7:
8 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 763.25
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.

Advancing to step 8:
When dividing 0 by 8, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 763.25
Subtracting 0 from 0 leaves us with 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 763.25, and the remainder is 0.0.