We divide 513 by 37
The aim is to understand the frequency of 37 in 513.

Going ahead to step 1:
If we divide 5 by 37, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 37

Let's proceed to step 2:
51 divided by 37 is 1 with a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 14 after subtracting 37 from 51.
Bring next digit (3) of the dividend behind the 14 and repeat the process: 143 / 37

Let's proceed to step 3:
37 goes into 143 3 times with a remainder of 32.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
The remainder is 32 after subtracting 111 from 143.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 4:
37 goes into 320 8 times with a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 13.8
Subtract 296 from 320 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 5:
240 divided by 37 is 6 with a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 13.86
The remainder is 18 after subtracting 222 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 6:
The number 37 fits into 180 4 times, leaving a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 13.864
If we take 148 away from 180, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 7:
320 divided by 37 is 8 with a remainder of 24.
The next digit of our result is 8. 
Result so far: 13.8648
If we take 296 away from 320, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 8:
If we divide 240 by 37, we get 6 and a remainder of 18.
Put 6 as the next digit of the answer. 
Result so far: 13.86486
Subtracting 222 from 240 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 9:
180 divided by 37 is 4 with a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 13.864864
The remainder is 32 after subtracting 148 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 10:
The number 37 fits into 320 8 times, leaving a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 13.8648648
Subtract 296 from 320 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 11:
37 goes into 240 6 times with a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 13.86486486
If we take 222 away from 240, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The quotient of the division is 13.86486486, and the remainder is 1.8e-08.