Let's divide 36757 by 45
Our goal is to divide 36757 by 45.

Advancing to step 1:
When dividing 3 by 45, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 45

Advancing to step 2:
The number 45 fits into 36 0 times, leaving a remainder of 36.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 36 and we're left with 36.
Fetch the next digit (7) from the dividend, attach it to 36 and continue: 367 / 45

Let's proceed to step 3:
45 can be fit into 367 8 times, resulting in a remainder of 7.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtracting 360 from 367 leaves us with 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 45

Advancing to step 4:
75 divided by 45 is 1 with a remainder of 30.
Write down 1 as next digit of the result. 
Result so far: 81.0
If we take 45 away from 75, we end up with 30.
Grab the next digit (7) from the dividend, add it to 30, then carry on: 307 / 45

Advancing to step 5:
When dividing 307 by 45, we get 6 with a remainder of 37.
Record the quotient 6 as the next digit in the result. 
Result so far: 816.0
Deduct 270 from 307 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 6:
The number 45 fits into 370 8 times, leaving a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 816.8
If we subtract 360 from 370, 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.

Step 7:
45 can be fit into 100 2 times, resulting in a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 816.82
Subtracting 90 from 100 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.

Step 8:
The number 45 fits into 100 2 times, leaving a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 816.822
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 816.822 with a remaining 0.001.