We're dividing 565437 by 10 
The aim is to understand the frequency of 10 in 565437.

Advancing to step 1:
10 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 10

Moving on to step 2:
56 divided by 10 is 5 with a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtracting 50 from 56 leaves us with 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 10

Step 3:
10 can be fit into 65 6 times, resulting in a remainder of 5.
Put 6 as the next digit of the answer. 
Result so far: 56.0
Deduct 60 from 65 and we're left with 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 10

Moving on to step 4:
10 goes into 54 5 times with a remainder of 4.
Use 5 as the next digit of our solution. 
Result so far: 565.0
If we take 50 away from 54, we end up with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 10

Moving on to step 5:
If we divide 43 by 10, we get 4 and a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 5654.0
If we subtract 40 from 43, we get 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 10

Let's proceed to step 6:
If we divide 37 by 10, we get 3 and a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 56543.0
Subtract 30 from 37 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
10 goes into 70 7 times with a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 56543.7
Subtract 70 from 70 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
0 divided by 10 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 56543.7
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
The number 10 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 56543.7
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 56543.7 with a remainder of 0.0.