100365 ÷ 37 
We want to divide 100365 by 37.

Going ahead to step 1:
37 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 37

Step 2:
The number 37 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 37

Advancing to step 3:
37 can be fit into 100 2 times, resulting in a remainder of 26.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 74 from 100 and we're left with 26.
Take the next digit (3) from the dividend and append it to 26, then repeat: 263 / 37

Going ahead to step 4:
37 can be fit into 263 7 times, resulting in a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 27.0
Subtracting 259 from 263 leaves us with 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 37

Advancing to step 5:
37 can be fit into 46 1 times, resulting in a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 271.0
Subtracting 37 from 46 leaves us with 9.
Bring next digit (5) of the dividend behind the 9 and repeat the process: 95 / 37

Step 6:
37 goes into 95 2 times with a remainder of 21.
Record the quotient 2 as the next digit in the result. 
Result so far: 2712.0
Deduct 74 from 95 and we're left 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.

Let's proceed to step 7:
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: 2712.5
If we subtract 185 from 210, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 8:
When dividing 250 by 37, we get 6 with a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 2712.56
Subtract 222 from 250 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 9:
When dividing 280 by 37, we get 7 with a remainder of 21.
The number 7 becomes the next digit in our result. 
Result so far: 2712.567
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 10:
37 can be fit into 210 5 times, resulting in a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 2712.5675
If we subtract 185 from 210, we get 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 11:
37 goes into 250 6 times with a remainder of 28.
Use 6 as the next digit of our solution. 
Result so far: 2712.56756
The remainder is 28 after subtracting 222 from 250.
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 12:
280 divided by 37 is 7 with a remainder of 21.
The number 7 becomes the next digit in our result. 
Result so far: 2712.567567
The remainder is 21 after subtracting 259 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 13:
The number 37 fits into 210 5 times, leaving a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 2712.5675675
The remainder is 25 after subtracting 185 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 14:
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: 2712.56756756
If we take 222 away from 250, 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.

After the division, we end up with 2712.56756756 and a remainder of 2.8e-08.