We're dividing 517389 by 37 
Our goal is to divide 517389 by 37.

Moving on 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
Subtract 0 from 5 to get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 37

On to step 2:
When dividing 51 by 37, we get 1 with a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 37 from 51, we get 14.
Bring next digit (7) of the dividend behind the 14 and repeat the process: 147 / 37

On to step 3:
If we divide 147 by 37, we get 3 and a remainder of 36.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtract 111 from 147 to get 36.
Bring next digit (3) of the dividend behind the 36 and repeat the process: 363 / 37

Step 4:
If we divide 363 by 37, we get 9 and a remainder of 30.
Use 9 as the next digit of our solution. 
Result so far: 139.0
If we subtract 333 from 363, we get 30.
Take the next digit (8) from the dividend and append it to 30, then repeat: 308 / 37

Step 5:
308 divided by 37 is 8 with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 1398.0
The remainder is 12 after subtracting 296 from 308.
Grab the next digit (9) from the dividend, add it to 12, then carry on: 129 / 37

Step 6:
129 divided by 37 is 3 with a remainder of 18.
The next digit of our result is 3. 
Result so far: 13983.0
Subtract 111 from 129 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 7:
If we divide 180 by 37, we get 4 and a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 13983.4
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.

Moving on to step 8:
320 divided by 37 is 8 with a remainder of 24.
The next digit of our result is 8. 
Result so far: 13983.48
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.

Moving on to step 9:
The number 37 fits into 240 6 times, leaving a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 13983.486
If we subtract 222 from 240, we get 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 10:
37 can be fit into 180 4 times, resulting in a remainder of 32.
The next digit of our result is 4. 
Result so far: 13983.4864
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 11:
When dividing 320 by 37, we get 8 with a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 13983.48648
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 12:
If we divide 240 by 37, we get 6 and a remainder of 18.
The next digit of our result is 6. 
Result so far: 13983.486486
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.

Step 13:
180 divided by 37 is 4 with a remainder of 32.
The next digit of our result is 4. 
Result so far: 13983.4864864
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.

Step 14:
37 can be fit into 320 8 times, resulting in a remainder of 24.
The next digit of our result is 8. 
Result so far: 13983.48648648
Subtracting 296 from 320 leaves us 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.

After the division, we end up with 13983.48648648 and a remainder of 2.4e-08.