707138 ÷ 7 
The aim is to understand the frequency of 7 in 707138.

Step 1:
7 divided by 7 is 1 with a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 7 from 7 and we're left with 0.
Append the next digit (0) from the dividend to 0 and continue with: 0 / 7

Advancing to step 2:
The number 7 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 0 after subtracting 0 from 0.
Append the next digit (7) from the dividend to 0 and continue with: 7 / 7

On to step 3:
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: 101.0
If we take 7 away from 7, we end up with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 7

On to step 4:
1 divided by 7 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 1010.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 7

Moving on to step 5:
The number 7 fits into 13 1 times, leaving a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 10101.0
The remainder is 6 after subtracting 7 from 13.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 7

Going ahead to step 6:
If we divide 68 by 7, we get 9 and a remainder of 5.
Use 9 as the next digit of our solution. 
Result so far: 101019.0
Subtracting 63 from 68 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 7:
50 divided by 7 is 7 with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 101019.7
Subtracting 49 from 50 leaves us 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.

Going ahead to step 8:
If we divide 10 by 7, we get 1 and a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 101019.71
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 9:
30 divided by 7 is 4 with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 101019.714
If we take 28 away from 30, we end up 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 10:
20 divided by 7 is 2 with a remainder of 6.
The next digit of our result is 2. 
Result so far: 101019.7142
Subtracting 14 from 20 leaves us 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.

Going ahead to step 11:
7 can be fit into 60 8 times, resulting in a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 101019.71428
The remainder is 4 after subtracting 56 from 60.
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 12:
The number 7 fits into 40 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 101019.714285
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.

On to step 13:
7 can be fit into 50 7 times, resulting in a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 101019.7142857
Subtracting 49 from 50 leaves us 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.

Going ahead to step 14:
If we divide 10 by 7, we get 1 and a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 101019.71428571
The remainder is 3 after subtracting 7 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The quotient of the division is 101019.71428571, and the remainder is 3e-09.