45438 ÷ 7 
The aim is to understand the frequency of 7 in 45438.

Step 1:
4 divided by 7 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 7

Advancing to step 2:
The number 7 fits into 45 6 times, leaving a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 42 from 45, we get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 7

On to step 3:
34 divided by 7 is 4 with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 64.0
Subtract 28 from 34 to get 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 7

Let's proceed to step 4:
7 can be fit into 63 9 times, resulting in a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 649.0
If we take 63 away from 63, we end up with 0.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 7

Advancing to step 5:
8 divided by 7 is 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 6491.0
If we take 7 away from 8, 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.

Moving on to step 6:
7 goes into 10 1 times with a remainder of 3.
The next digit of our result is 1. 
Result so far: 6491.1
If we subtract 7 from 10, we 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.

Let's proceed to step 7:
7 goes into 30 4 times with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 6491.14
Subtract 28 from 30 to 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.

Going ahead to step 8:
When dividing 20 by 7, we get 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 6491.142
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.

Going ahead to step 9:
When dividing 60 by 7, we get 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 6491.1428
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.

Step 10:
If we divide 40 by 7, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 6491.14285
Deduct 35 from 40 and we're left 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.

Moving on to step 11:
7 goes into 50 7 times with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 6491.142857
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.

On to step 12:
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: 6491.1428571
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.

Moving on to step 13:
The number 7 fits into 30 4 times, leaving a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 6491.14285714
Subtract 28 from 30 to 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.

The final outcome is 6491.14285714, with a leftover of 2e-09.