508815 ÷ 37 
Let's see how many times 37 fits into 508815.

Moving on to step 1:
37 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 37

Moving 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 take 37 away from 50, we end up with 13.
Include the next digit (8) from the dividend after 13, then repeat: 138 / 37

Moving on to step 3:
The number 37 fits into 138 3 times, leaving a remainder of 27.
The next digit of our result is 3. 
Result so far: 13.0
Subtracting 111 from 138 leaves us with 27.
Append the next digit (8) from the dividend to 27 and continue with: 278 / 37

Step 4:
The number 37 fits into 278 7 times, leaving a remainder of 19.
The next digit of our result is 7. 
Result so far: 137.0
Deduct 259 from 278 and we're left with 19.
Grab the next digit (1) from the dividend, add it to 19, then carry on: 191 / 37

Step 5:
When dividing 191 by 37, we get 5 with a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 1375.0
If we take 185 away from 191, we end up with 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 37

Let's proceed to step 6:
The number 37 fits into 65 1 times, leaving a remainder of 28.
The next digit of our result is 1. 
Result so far: 13751.0
If we take 37 away from 65, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 7:
When dividing 280 by 37, we get 7 with a remainder of 21.
Write down 7 as next digit of the result. 
Result so far: 13751.7
If we subtract 259 from 280, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 8:
If we divide 210 by 37, we get 5 and a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 13751.75
Subtracting 185 from 210 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 9:
37 can be fit into 250 6 times, resulting in a remainder of 28.
Use 6 as the next digit of our solution. 
Result so far: 13751.756
Subtracting 222 from 250 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 10:
When dividing 280 by 37, we get 7 with a remainder of 21.
Use 7 as the next digit of our solution. 
Result so far: 13751.7567
Subtracting 259 from 280 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 11:
When dividing 210 by 37, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 13751.75675
Subtracting 185 from 210 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 12:
When dividing 250 by 37, we get 6 with a remainder of 28.
Use 6 as the next digit of our solution. 
Result so far: 13751.756756
Subtracting 222 from 250 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 13:
37 goes into 280 7 times with a remainder of 21.
The next digit of our result is 7. 
Result so far: 13751.7567567
Subtract 259 from 280 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 14:
When dividing 210 by 37, we get 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 13751.75675675
If we take 185 away from 210, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

After the division, we end up with 13751.75675675 and a remainder of 2.5e-08.