777667 divided by 6 
The aim is to understand the frequency of 6 in 777667.

Let's proceed to step 1:
When dividing 7 by 6, we get 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 6 away from 7, we end up with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 6

Moving on to step 2:
6 can be fit into 17 2 times, resulting in a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Subtract 12 from 17 to get 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 6

Step 3:
6 can be fit into 57 9 times, resulting in a remainder of 3.
The next digit of our result is 9. 
Result so far: 129.0
If we subtract 54 from 57, we get 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 6

Let's proceed to step 4:
6 can be fit into 36 6 times, resulting in a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 1296.0
Deduct 36 from 36 and we're left with 0.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 6

Going ahead to step 5:
6 goes into 6 1 times with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 12961.0
Deduct 6 from 6 and we're left with 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 6

Going ahead to step 6:
If we divide 7 by 6, we get 1 and a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 129611.0
If we take 6 away from 7, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
10 divided by 6 is 1 with a remainder of 4.
The next digit of our result is 1. 
Result so far: 129611.1
If we take 6 away from 10, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
The number 6 fits into 40 6 times, leaving a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 129611.16
The remainder is 4 after subtracting 36 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 9:
The number 6 fits into 40 6 times, leaving a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 129611.166
If we subtract 36 from 40, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final outcome is 129611.166, with a leftover of 0.0004.