574376 divided by 6 
We're looking to find how many times 6 goes into 574376.

On to step 1:
6 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 6

Moving on to step 2:
If we divide 57 by 6, we get 9 and a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 9.0
The remainder is 3 after subtracting 54 from 57.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 6

Step 3:
34 divided by 6 is 5 with a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 95.0
Deduct 30 from 34 and we're left with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 6

Moving on to step 4:
6 can be fit into 43 7 times, resulting in a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 957.0
If we subtract 42 from 43, we get 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 6

Step 5:
17 divided by 6 is 2 with a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 9572.0
The remainder is 5 after subtracting 12 from 17.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 6

Step 6:
56 divided by 6 is 9 with a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 95729.0
If we subtract 54 from 56, 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 7:
The number 6 fits into 20 3 times, leaving a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 95729.3
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.

On to step 8:
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: 95729.33
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.

After the division, we end up with 95729.33 and a remainder of 0.002.