508820 ÷ 37 
Our goal is to divide 508820 by 37.

Going ahead to step 1:
When dividing 5 by 37, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 37

On to step 2:
37 can be fit into 50 1 times, resulting in a remainder of 13.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 37 from 50, we get 13.
Append the next digit (8) from the dividend to 13 and continue with: 138 / 37

Moving on to step 3:
If we divide 138 by 37, we get 3 and a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Subtracting 111 from 138 leaves us with 27.
Include the next digit (8) from the dividend after 27, then repeat: 278 / 37

Let's proceed to step 4:
When dividing 278 by 37, we get 7 with a remainder of 19.
Record the quotient 7 as the next digit in the result. 
Result so far: 137.0
Subtracting 259 from 278 leaves us with 19.
Take the next digit (2) from the dividend and append it to 19, then repeat: 192 / 37

Let's proceed to step 5:
192 divided by 37 is 5 with a remainder of 7.
Record the quotient 5 as the next digit in the result. 
Result so far: 1375.0
Deduct 185 from 192 and we're left with 7.
Include the next digit (0) from the dividend after 7, then repeat: 70 / 37

Let's proceed to step 6:
When dividing 70 by 37, we get 1 with a remainder of 33.
The number 1 becomes the next digit in our result. 
Result so far: 13751.0
The remainder is 33 after subtracting 37 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 7:
When dividing 330 by 37, we get 8 with a remainder of 34.
Record the quotient 8 as the next digit in the result. 
Result so far: 13751.8
Subtract 296 from 330 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 8:
The number 37 fits into 340 9 times, leaving a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 13751.89
Subtracting 333 from 340 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 9:
The number 37 fits into 70 1 times, leaving a remainder of 33.
The next digit of our result is 1. 
Result so far: 13751.891
If we subtract 37 from 70, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 10:
When dividing 330 by 37, we get 8 with a remainder of 34.
The next digit of our result is 8. 
Result so far: 13751.8918
The remainder is 34 after subtracting 296 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 11:
37 goes into 340 9 times with a remainder of 7.
The next digit of our result is 9. 
Result so far: 13751.89189
Subtract 333 from 340 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.

Going ahead to step 12:
70 divided by 37 is 1 with a remainder of 33.
Put 1 as the next digit of the answer. 
Result so far: 13751.891891
Deduct 37 from 70 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 13:
37 goes into 330 8 times with a remainder of 34.
The number 8 becomes the next digit in our result. 
Result so far: 13751.8918918
If we subtract 296 from 330, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 14:
The number 37 fits into 340 9 times, leaving a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 13751.89189189
If we subtract 333 from 340, we 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.

The final outcome is 13751.89189189, with a leftover of 7e-09.