We're dividing 597106 by 6 
We're looking to find how many times 6 goes into 597106.

Going ahead to step 1:
6 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 6

Let's proceed to step 2:
6 can be fit into 59 9 times, resulting in a remainder of 5.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
The remainder is 5 after subtracting 54 from 59.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 6

On to step 3:
When dividing 57 by 6, we get 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 99.0
If we take 54 away from 57, we end up with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 6

Step 4:
6 goes into 31 5 times with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 995.0
Deduct 30 from 31 and we're left with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 6

On to step 5:
The number 6 fits into 10 1 times, leaving a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 9951.0
Subtracting 6 from 10 leaves us with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 6

Going ahead to step 6:
If we divide 46 by 6, we get 7 and a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 99517.0
If we subtract 42 from 46, 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.

Going ahead to step 7:
When dividing 40 by 6, we get 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 99517.6
Subtract 36 from 40 to 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 8:
6 can be fit into 40 6 times, resulting in a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 99517.66
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 quotient of the division is 99517.66, and the remainder is 0.004.