Let's divide 13605 by 37
We're looking to find how many times 37 goes into 13605.

Moving on 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.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 37

Going ahead to step 2:
37 can be fit into 13 0 times, resulting in a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Append the next digit (6) from the dividend to 13 and continue with: 136 / 37

Advancing to step 3:
If we divide 136 by 37, we get 3 and a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 3.0
The remainder is 25 after subtracting 111 from 136.
Take the next digit (0) from the dividend and append it to 25, then repeat: 250 / 37

Advancing to step 4:
37 can be fit into 250 6 times, resulting in a remainder of 28.
The next digit of our result is 6. 
Result so far: 36.0
If we subtract 222 from 250, we get 28.
Take the next digit (5) from the dividend and append it to 28, then repeat: 285 / 37

Going ahead to step 5:
The number 37 fits into 285 7 times, leaving a remainder of 26.
Put 7 as the next digit of the answer. 
Result so far: 367.0
The remainder is 26 after subtracting 259 from 285.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 6:
If we divide 260 by 37, we get 7 and a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 367.7
The remainder is 1 after subtracting 259 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
37 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 367.7
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
37 goes into 100 2 times with a remainder of 26.
Use 2 as the next digit of our solution. 
Result so far: 367.702
The remainder is 26 after subtracting 74 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 9:
The number 37 fits into 260 7 times, leaving a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 367.7027
If we take 259 away from 260, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 10:
10 divided by 37 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 367.7027
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 11:
The number 37 fits into 100 2 times, leaving a remainder of 26.
The next digit of our result is 2. 
Result so far: 367.702702
Deduct 74 from 100 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 12:
When dividing 260 by 37, we get 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 367.7027027
Deduct 259 from 260 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 13:
The number 37 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 367.7027027
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 367.7027027 with a balance of 1e-08.