379421 ÷ 6 
Let's see how many times 6 fits into 379421.

Moving on to step 1:
When dividing 3 by 6, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 6

Advancing to step 2:
When dividing 37 by 6, we get 6 with a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 36 from 37 leaves us with 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 6

Step 3:
If we divide 19 by 6, we get 3 and a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 63.0
Deduct 18 from 19 and we're left with 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 6

Step 4:
The number 6 fits into 14 2 times, leaving a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 632.0
The remainder is 2 after subtracting 12 from 14.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 6

Advancing to step 5:
6 can be fit into 22 3 times, resulting in a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 6323.0
Subtracting 18 from 22 leaves us with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 6

Going ahead to step 6:
When dividing 41 by 6, we get 6 with a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 63236.0
Subtracting 36 from 41 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.

Step 7:
The number 6 fits into 50 8 times, leaving a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 63236.8
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.

Moving on to step 8:
When dividing 20 by 6, we get 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 63236.83
Subtract 18 from 20 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.

Step 9:
6 can be fit into 20 3 times, resulting in a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 63236.833
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.

In conclusion, the division gives 63236.833 with a balance of 0.0002.