We divide 781101 by 7
The aim is to understand the frequency of 7 in 781101.

Advancing to step 1:
7 goes into 7 1 times with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 7 from 7 leaves us with 0.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 7

Advancing to step 2:
When dividing 8 by 7, we get 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtracting 7 from 8 leaves us with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 7

Going ahead to step 3:
11 divided by 7 is 1 with a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 111.0
If we take 7 away from 11, we end up with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 7

On to step 4:
The number 7 fits into 41 5 times, leaving a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 1115.0
If we take 35 away from 41, we end up with 6.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 7

Advancing to step 5:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 11158.0
If we subtract 56 from 60, we get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 7

Advancing to step 6:
When dividing 41 by 7, we get 5 with a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 111585.0
The remainder is 6 after subtracting 35 from 41.
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 7:
If we divide 60 by 7, we get 8 and a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 111585.8
Subtract 56 from 60 to 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.

Step 8:
40 divided by 7 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 111585.85
Subtracting 35 from 40 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.

On to step 9:
The number 7 fits into 50 7 times, leaving a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 111585.857
Subtract 49 from 50 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 10:
7 goes into 10 1 times with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 111585.8571
If we take 7 away from 10, we end up 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.

Step 11:
7 goes into 30 4 times with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 111585.85714
If we subtract 28 from 30, 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.

Advancing to step 12:
If we divide 20 by 7, we get 2 and a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 111585.857142
Deduct 14 from 20 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 13:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 111585.8571428
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.

Moving on to step 14:
The number 7 fits into 40 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 111585.85714285
Subtract 35 from 40 to 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.

In conclusion, the division gives 111585.85714285 with a balance of 5e-09.