We look at the division of 135665 by 37 
We want to divide 135665 by 37.

Moving on to step 1:
37 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 37

Going ahead to step 2:
37 goes into 13 0 times with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 13, we end up with 13.
Grab the next digit (5) from the dividend, add it to 13, then carry on: 135 / 37

Let's proceed to step 3:
37 can be fit into 135 3 times, resulting in a remainder of 24.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we take 111 away from 135, we end up with 24.
Grab the next digit (6) from the dividend, add it to 24, then carry on: 246 / 37

Advancing to step 4:
When dividing 246 by 37, we get 6 with a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 36.0
Subtract 222 from 246 to get 24.
Take the next digit (6) from the dividend and append it to 24, then repeat: 246 / 37

Going ahead to step 5:
When dividing 246 by 37, we get 6 with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 366.0
Deduct 222 from 246 and we're left with 24.
Take the next digit (5) from the dividend and append it to 24, then repeat: 245 / 37

Moving on to step 6:
If we divide 245 by 37, we get 6 and a remainder of 23.
The next digit of our result is 6. 
Result so far: 3666.0
Deduct 222 from 245 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 7:
37 can be fit into 230 6 times, resulting in a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 3666.6
The remainder is 8 after subtracting 222 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
When dividing 80 by 37, we get 2 with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 3666.62
If we subtract 74 from 80, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
When dividing 60 by 37, we get 1 with a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 3666.621
If we take 37 away from 60, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 10:
230 divided by 37 is 6 with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 3666.6216
The remainder is 8 after subtracting 222 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 11:
37 goes into 80 2 times with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 3666.62162
The remainder is 6 after subtracting 74 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 12:
If we divide 60 by 37, we get 1 and a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 3666.621621
If we subtract 37 from 60, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 13:
When dividing 230 by 37, we get 6 with a remainder of 8.
The next digit of our result is 6. 
Result so far: 3666.6216216
Subtracting 222 from 230 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 14:
When dividing 80 by 37, we get 2 with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 3666.62162162
Deduct 74 from 80 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 3666.62162162 with a balance of 6e-09.