We look at the division of 11636 by 37 
We want to divide 11636 by 37.

Going ahead to step 1:
If we divide 1 by 37, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 37

Advancing to step 2:
37 can be fit into 11 0 times, resulting in a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Bring next digit (6) of the dividend behind the 11 and repeat the process: 116 / 37

Going ahead to step 3:
116 divided by 37 is 3 with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 111 from 116 to get 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 37

Step 4:
37 goes into 53 1 times with a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 31.0
Subtracting 37 from 53 leaves us with 16.
Take the next digit (6) from the dividend and append it to 16, then repeat: 166 / 37

On to step 5:
37 can be fit into 166 4 times, resulting in a remainder of 18.
Write down 4 as next digit of the result. 
Result so far: 314.0
If we take 148 away from 166, 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.

Advancing to step 6:
180 divided by 37 is 4 with a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 314.4
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.

Advancing to step 7:
320 divided by 37 is 8 with a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 314.48
Deduct 296 from 320 and we're left 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.

Going ahead to step 8:
The number 37 fits into 240 6 times, leaving a remainder of 18.
The next digit of our result is 6. 
Result so far: 314.486
The remainder is 18 after subtracting 222 from 240.
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 9:
180 divided by 37 is 4 with a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 314.4864
Deduct 148 from 180 and we're left 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.

Going ahead to step 10:
37 can be fit into 320 8 times, resulting in a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 314.48648
If we subtract 296 from 320, we 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.

Advancing to step 11:
37 goes into 240 6 times with a remainder of 18.
The next digit of our result is 6. 
Result so far: 314.486486
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.

Moving on to step 12:
The number 37 fits into 180 4 times, leaving a remainder of 32.
The next digit of our result is 4. 
Result so far: 314.4864864
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.

Step 13:
The number 37 fits into 320 8 times, leaving a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 314.48648648
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.

In conclusion, the division gives 314.48648648 with a balance of 2.4e-08.