We look at the division of 108181 by 37 
We're looking to find how many times 37 goes into 108181.

Let's proceed 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
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 37

Let's proceed to step 2:
37 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Take the next digit (8) from the dividend and append it to 10, then repeat: 108 / 37

Going ahead to step 3:
When dividing 108 by 37, we get 2 with a remainder of 34.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 74 from 108 to get 34.
Bring next digit (1) of the dividend behind the 34 and repeat the process: 341 / 37

Moving on to step 4:
37 can be fit into 341 9 times, resulting in a remainder of 8.
Record the quotient 9 as the next digit in the result. 
Result so far: 29.0
If we subtract 333 from 341, we get 8.
Grab the next digit (8) from the dividend, add it to 8, then carry on: 88 / 37

On to step 5:
37 goes into 88 2 times with a remainder of 14.
The next digit of our result is 2. 
Result so far: 292.0
Subtract 74 from 88 to get 14.
Grab the next digit (1) from the dividend, add it to 14, then carry on: 141 / 37

Step 6:
If we divide 141 by 37, we get 3 and a remainder of 30.
The number 3 becomes the next digit in our result. 
Result so far: 2923.0
Subtracting 111 from 141 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 7:
37 can be fit into 300 8 times, resulting in a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 2923.8
If we subtract 296 from 300, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
The number 37 fits into 40 1 times, leaving a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 2923.81
Deduct 37 from 40 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 9:
When dividing 30 by 37, we get 0 with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 2923.81
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 10:
300 divided by 37 is 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 2923.8108
The remainder is 4 after subtracting 296 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 11:
37 can be fit into 40 1 times, resulting in a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 2923.81081
Subtracting 37 from 40 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 12:
When dividing 30 by 37, we get 0 with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 2923.81081
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 13:
If we divide 300 by 37, we get 8 and a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 2923.8108108
Deduct 296 from 300 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 14:
37 goes into 40 1 times with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 2923.81081081
Subtracting 37 from 40 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final outcome is 2923.81081081, with a leftover of 3e-09.