513475 ÷ 37 
The aim is to understand the frequency of 37 in 513475.

Advancing to step 1:
When dividing 5 by 37, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 37

Let's proceed to step 2:
37 goes into 51 1 times with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 37 from 51 and we're left with 14.
Include the next digit (3) from the dividend after 14, then repeat: 143 / 37

Step 3:
If we divide 143 by 37, we get 3 and a remainder of 32.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
The remainder is 32 after subtracting 111 from 143.
Take the next digit (4) from the dividend and append it to 32, then repeat: 324 / 37

Going ahead to step 4:
324 divided by 37 is 8 with a remainder of 28.
Record the quotient 8 as the next digit in the result. 
Result so far: 138.0
Subtract 296 from 324 to get 28.
Append the next digit (7) from the dividend to 28 and continue with: 287 / 37

Moving on to step 5:
37 can be fit into 287 7 times, resulting in a remainder of 28.
Write down 7 as next digit of the result. 
Result so far: 1387.0
Subtract 259 from 287 to get 28.
Append the next digit (5) from the dividend to 28 and continue with: 285 / 37

Going ahead to step 6:
37 can be fit into 285 7 times, resulting in a remainder of 26.
Record the quotient 7 as the next digit in the result. 
Result so far: 13877.0
If we take 259 away from 285, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 7:
If we divide 260 by 37, we get 7 and a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 13877.7
If we subtract 259 from 260, we 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 8:
If we divide 10 by 37, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 13877.7
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 9:
37 can be fit into 100 2 times, resulting in a remainder of 26.
The number 2 becomes the next digit in our result. 
Result so far: 13877.702
Subtract 74 from 100 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 10:
When dividing 260 by 37, we get 7 with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 13877.7027
If we take 259 away from 260, 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.

Going ahead to step 11:
37 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 13877.7027
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 12:
37 can be fit into 100 2 times, resulting in a remainder of 26.
The number 2 becomes the next digit in our result. 
Result so far: 13877.702702
The remainder is 26 after subtracting 74 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 13:
The number 37 fits into 260 7 times, leaving a remainder of 1.
The next digit of our result is 7. 
Result so far: 13877.7027027
Subtract 259 from 260 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 14:
If we divide 10 by 37, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 13877.7027027
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 13877.7027027 with a balance of 1e-08.