We look at the division of 561497 by 6 
We want to divide 561497 by 6.

Advancing to step 1:
5 divided by 6 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 6

Advancing to step 2:
6 can be fit into 56 9 times, resulting in a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
The remainder is 2 after subtracting 54 from 56.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 6

Going ahead to step 3:
6 goes into 21 3 times with a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 93.0
Subtract 18 from 21 to get 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 6

On to step 4:
6 can be fit into 34 5 times, resulting in a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 935.0
If we subtract 30 from 34, we get 4.
Fetch the next digit (9) from the dividend, attach it to 4 and continue: 49 / 6

Let's proceed to step 5:
6 can be fit into 49 8 times, resulting in a remainder of 1.
The number 8 becomes the next digit in our result. 
Result so far: 9358.0
If we take 48 away from 49, we end up with 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 6

Advancing to step 6:
6 goes into 17 2 times with a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 93582.0
Subtracting 12 from 17 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
If we divide 50 by 6, we get 8 and a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 93582.8
The remainder is 2 after subtracting 48 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
6 can be fit into 20 3 times, resulting in a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 93582.83
If we subtract 18 from 20, we 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.

Let's proceed to step 9:
When dividing 20 by 6, we get 3 with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 93582.833
Deduct 18 from 20 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.

Our division results in 93582.833 with a remaining 0.0002.