102717 ÷ 37 
Our goal is to divide 102717 by 37.

Going ahead to step 1:
1 divided by 37 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 37

Moving on to step 2:
If we divide 10 by 37, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Fetch the next digit (2) from the dividend, attach it to 10 and continue: 102 / 37

Advancing to step 3:
The number 37 fits into 102 2 times, leaving a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 74 away from 102, we end up with 28.
Bring next digit (7) of the dividend behind the 28 and repeat the process: 287 / 37

Moving on to step 4:
287 divided by 37 is 7 with a remainder of 28.
The number 7 becomes the next digit in our result. 
Result so far: 27.0
If we take 259 away from 287, we end up with 28.
Append the next digit (1) from the dividend to 28 and continue with: 281 / 37

Let's proceed to step 5:
37 can be fit into 281 7 times, resulting in a remainder of 22.
The number 7 becomes the next digit in our result. 
Result so far: 277.0
Deduct 259 from 281 and we're left with 22.
Fetch the next digit (7) from the dividend, attach it to 22 and continue: 227 / 37

Step 6:
The number 37 fits into 227 6 times, leaving a remainder of 5.
Put 6 as the next digit of the answer. 
Result so far: 2776.0
The remainder is 5 after subtracting 222 from 227.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
37 can be fit into 50 1 times, resulting in a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 2776.1
If we subtract 37 from 50, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 8:
37 can be fit into 130 3 times, resulting in a remainder of 19.
Use 3 as the next digit of our solution. 
Result so far: 2776.13
If we subtract 111 from 130, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 9:
37 goes into 190 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 2776.135
If we subtract 185 from 190, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 10:
50 divided by 37 is 1 with a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 2776.1351
If we subtract 37 from 50, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 11:
37 can be fit into 130 3 times, resulting in a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 2776.13513
The remainder is 19 after subtracting 111 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 12:
37 can be fit into 190 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 2776.135135
Subtracting 185 from 190 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 13:
37 can be fit into 50 1 times, resulting in a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 2776.1351351
Deduct 37 from 50 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 14:
37 can be fit into 130 3 times, resulting in a remainder of 19.
Record the quotient 3 as the next digit in the result. 
Result so far: 2776.13513513
Subtracting 111 from 130 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

The final outcome is 2776.13513513, with a leftover of 1.9e-08.