Let's divide 153566 by 6
We want to divide 153566 by 6.

Going ahead to step 1:
When dividing 1 by 6, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 6

Moving on to step 2:
When dividing 15 by 6, we get 2 with a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 12 from 15 and we're left with 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 6

Advancing to step 3:
6 goes into 33 5 times with a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 25.0
The remainder is 3 after subtracting 30 from 33.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 6

On to step 4:
6 goes into 35 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 255.0
Subtract 30 from 35 to get 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 6

Moving on to step 5:
If we divide 56 by 6, we get 9 and a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 2559.0
Deduct 54 from 56 and we're left with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 6

Advancing to step 6:
The number 6 fits into 26 4 times, leaving a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 25594.0
If we take 24 away from 26, we end up 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.

On to step 7:
20 divided by 6 is 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 25594.3
If we take 18 away from 20, we end up 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 8:
20 divided by 6 is 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 25594.33
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 25594.33, with a leftover of 0.002.