We divide 735597 by 7
The aim is to understand the frequency of 7 in 735597.

Advancing to step 1:
When dividing 7 by 7, we get 1 with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 7 from 7 leaves us with 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 7

Step 2:
If we divide 3 by 7, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtract 0 from 3 to get 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 7

Let's proceed to step 3:
The number 7 fits into 35 5 times, leaving a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 105.0
The remainder is 0 after subtracting 35 from 35.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 7

On to step 4:
If we divide 5 by 7, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 1050.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 7

Let's proceed to step 5:
59 divided by 7 is 8 with a remainder of 3.
Record the quotient 8 as the next digit in the result. 
Result so far: 10508.0
If we take 56 away from 59, we end up with 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 7

Going ahead to step 6:
If we divide 37 by 7, we get 5 and a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 105085.0
Subtracting 35 from 37 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
7 goes into 20 2 times with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 105085.2
If we take 14 away from 20, we end up 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 8:
When dividing 60 by 7, we get 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 105085.28
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.

Advancing to step 9:
7 can be fit into 40 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 105085.285
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.

Moving on to step 10:
50 divided by 7 is 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 105085.2857
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.

Let's proceed to step 11:
7 can be fit into 10 1 times, resulting in a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 105085.28571
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.

Step 12:
When dividing 30 by 7, we get 4 with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 105085.285714
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 13:
7 can be fit into 20 2 times, resulting in a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 105085.2857142
Subtract 14 from 20 to 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.

Moving on to step 14:
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: 105085.28571428
If we take 56 away from 60, 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.

The final result is 105085.28571428 with a remainder of 4e-09.