We look at the division of 774100 by 7 
The aim is to understand the frequency of 7 in 774100.

Let's proceed to step 1:
The number 7 fits into 7 1 times, leaving a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 7 away from 7, we end up with 0.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 7

Going ahead to step 2:
7 goes into 7 1 times with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
The remainder is 0 after subtracting 7 from 7.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 7

Moving on to step 3:
If we divide 4 by 7, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 110.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 7

Advancing to step 4:
If we divide 41 by 7, we get 5 and a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 1105.0
If we take 35 away from 41, we end up with 6.
Take the next digit (0) from the dividend and append it to 6, then repeat: 60 / 7

Moving on to step 5:
60 divided by 7 is 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 11058.0
Subtract 56 from 60 to get 4.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 7

On to step 6:
7 goes into 40 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 110585.0
If we subtract 35 from 40, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
7 goes into 50 7 times with a remainder of 1.
The next digit of our result is 7. 
Result so far: 110585.7
Deduct 49 from 50 and we're left 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 8:
The number 7 fits into 10 1 times, leaving a remainder of 3.
The next digit of our result is 1. 
Result so far: 110585.71
Subtracting 7 from 10 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 9:
If we divide 30 by 7, we get 4 and a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 110585.714
The remainder is 2 after subtracting 28 from 30.
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 10:
The number 7 fits into 20 2 times, leaving a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 110585.7142
If we subtract 14 from 20, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 11:
If we divide 60 by 7, we get 8 and a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 110585.71428
If we subtract 56 from 60, 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.

Going ahead to step 12:
If we divide 40 by 7, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 110585.714285
If we take 35 away from 40, we end up 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.

Advancing to step 13:
If we divide 50 by 7, we get 7 and a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 110585.7142857
Deduct 49 from 50 and we're left 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.

Advancing to step 14:
7 goes into 10 1 times with a remainder of 3.
The next digit of our result is 1. 
Result so far: 110585.71428571
Subtract 7 from 10 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.

The final result is 110585.71428571 with a remainder of 3e-09.