Let's divide 600581 by 6
We want to divide 600581 by 6.

Let's proceed to step 1:
If we divide 6 by 6, we get 1 and a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 6 away from 6, we end up with 0.
Grab the next digit (0) from the dividend, add it to 0, then carry on: 0 / 6

On to step 2:
6 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 0 and we're left with 0.
Fetch the next digit (0) from the dividend, attach it to 0 and continue: 0 / 6

Let's proceed to step 3:
When dividing 0 by 6, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 100.0
If we take 0 away from 0, we end up with 0.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 6

Going ahead to step 4:
5 divided by 6 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 1000.0
Subtract 0 from 5 to get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 6

Moving on to step 5:
If we divide 58 by 6, we get 9 and a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 10009.0
Deduct 54 from 58 and we're left with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 6

Advancing to step 6:
41 divided by 6 is 6 with a remainder of 5.
The next digit of our result is 6. 
Result so far: 100096.0
If we take 36 away from 41, we end up 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.

Advancing to step 7:
50 divided by 6 is 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 100096.8
Subtract 48 from 50 to 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.

Going ahead to step 8:
6 goes into 20 3 times with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 100096.83
Subtracting 18 from 20 leaves us 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 9:
6 goes into 20 3 times with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 100096.833
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.

In conclusion, the division gives 100096.833 with a balance of 0.0002.