102727 ÷ 37 
We want to figure out the number of times 102727 can be divided by 37.

Advancing to step 1:
If we divide 1 by 37, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 37

Let's proceed to step 2:
The number 37 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Append the next digit (2) from the dividend to 10 and continue with: 102 / 37

On to step 3:
If we divide 102 by 37, we get 2 and a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 74 from 102 to get 28.
Include the next digit (7) from the dividend after 28, then repeat: 287 / 37

Let's proceed to step 4:
37 can be fit into 287 7 times, resulting in a remainder of 28.
The number 7 becomes the next digit in our result. 
Result so far: 27.0
Subtract 259 from 287 to get 28.
Grab the next digit (2) from the dividend, add it to 28, then carry on: 282 / 37

Advancing to step 5:
37 can be fit into 282 7 times, resulting in a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 277.0
Subtracting 259 from 282 leaves us with 23.
Bring next digit (7) of the dividend behind the 23 and repeat the process: 237 / 37

Let's proceed to step 6:
If we divide 237 by 37, we get 6 and a remainder of 15.
Write down 6 as next digit of the result. 
Result so far: 2776.0
Deduct 222 from 237 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 7:
When dividing 150 by 37, we get 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 2776.4
The remainder is 2 after subtracting 148 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
When dividing 20 by 37, we get 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 2776.4
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
When dividing 200 by 37, we get 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 2776.405
The remainder is 15 after subtracting 185 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 10:
37 can be fit into 150 4 times, resulting in a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 2776.4054
Subtract 148 from 150 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 11:
The number 37 fits into 20 0 times, leaving a remainder of 20.
The next digit of our result is 0. 
Result so far: 2776.4054
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 12:
The number 37 fits into 200 5 times, leaving a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 2776.405405
Subtracting 185 from 200 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 13:
The number 37 fits into 150 4 times, leaving a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 2776.4054054
If we take 148 away from 150, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 14:
If we divide 20 by 37, we get 0 and a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 2776.4054054
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Our division results in 2776.4054054 with a remaining 2e-08.