421983 ÷ 6 
The aim is to understand the frequency of 6 in 421983.

Advancing to step 1:
The number 6 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 6

Let's proceed to step 2:
6 goes into 42 7 times with a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 7.0
Deduct 42 from 42 and we're left with 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 6

Advancing to step 3:
6 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 70.0
Subtract 0 from 1 to get 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 6

Going ahead to step 4:
If we divide 19 by 6, we get 3 and a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 703.0
If we subtract 18 from 19, we get 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 6

Advancing to step 5:
6 goes into 18 3 times with a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 7033.0
Subtracting 18 from 18 leaves us with 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 6

Going ahead to step 6:
When dividing 3 by 6, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 70330.0
Subtract 0 from 3 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
6 can be fit into 30 5 times, resulting in a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 70330.5
Deduct 30 from 30 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
The number 6 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 70330.5
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
If we divide 0 by 6, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 70330.5
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 70330.5, with a leftover of 0.0.