We look at the division of 377183 by 36 
We're looking to find how many times 36 goes into 377183.

Let's proceed to step 1:
36 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 36

Let's proceed to step 2:
When dividing 37 by 36, we get 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 36 from 37, we get 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 36

Advancing to step 3:
When dividing 17 by 36, we get 0 with a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtracting 0 from 17 leaves us with 17.
Include the next digit (1) from the dividend after 17, then repeat: 171 / 36

Let's proceed to step 4:
When dividing 171 by 36, we get 4 with a remainder of 27.
Record the quotient 4 as the next digit in the result. 
Result so far: 104.0
If we take 144 away from 171, we end up with 27.
Fetch the next digit (8) from the dividend, attach it to 27 and continue: 278 / 36

Let's proceed to step 5:
36 can be fit into 278 7 times, resulting in a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 1047.0
The remainder is 26 after subtracting 252 from 278.
Bring next digit (3) of the dividend behind the 26 and repeat the process: 263 / 36

Moving on to step 6:
The number 36 fits into 263 7 times, leaving a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 10477.0
The remainder is 11 after subtracting 252 from 263.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
110 divided by 36 is 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 10477.3
If we take 108 away from 110, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
The number 36 fits into 20 0 times, leaving a remainder of 20.
The next digit of our result is 0. 
Result so far: 10477.3
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
When dividing 200 by 36, we get 5 with a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 10477.305
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 10:
When dividing 200 by 36, we get 5 with a remainder of 20.
The number 5 becomes the next digit in our result. 
Result so far: 10477.3055
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 10477.3055 with a balance of 0.0002.