We look at the division of 876111 by 6 
The aim is to understand the frequency of 6 in 876111.

Moving on to step 1:
6 goes into 8 1 times with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 6 from 8, we get 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 6

Let's proceed to step 2:
If we divide 27 by 6, we get 4 and a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
If we take 24 away from 27, we end up with 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 6

Moving on to step 3:
If we divide 36 by 6, we get 6 and a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 146.0
If we take 36 away from 36, we end up with 0.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 6

Let's proceed to step 4:
The number 6 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 1460.0
If we take 0 away from 1, we end up with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 6

On to step 5:
If we divide 11 by 6, we get 1 and a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 14601.0
Subtract 6 from 11 to get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 6

Let's proceed to step 6:
6 goes into 51 8 times with a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 146018.0
If we subtract 48 from 51, we 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.

Advancing to step 7:
If we divide 30 by 6, we get 5 and a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 146018.5
Subtracting 30 from 30 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.

Let's proceed to step 8:
0 divided by 6 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 146018.5
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.

Step 9:
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: 146018.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 146018.5 and a remainder of 0.0.