We look at the division of 37565 by 75 
We want to figure out the number of times 37565 can be divided by 75.

Advancing to step 1:
75 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 75

Going ahead to step 2:
The number 75 fits into 37 0 times, leaving a remainder of 37.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Take the next digit (5) from the dividend and append it to 37, then repeat: 375 / 75

Advancing to step 3:
The number 75 fits into 375 5 times, leaving a remainder of 0.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 0 after subtracting 375 from 375.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 75

Step 4:
The number 75 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 50.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 75

Let's proceed to step 5:
If we divide 65 by 75, we get 0 and a remainder of 65.
The next digit of our result is 0. 
Result so far: 500.0
Subtracting 0 from 65 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

On to step 6:
When dividing 650 by 75, we get 8 with a remainder of 50.
Write down 8 as next digit of the result. 
Result so far: 500.8
If we subtract 600 from 650, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 7:
If we divide 500 by 75, we get 6 and a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 500.86
If we subtract 450 from 500, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 8:
If we divide 500 by 75, we get 6 and a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 500.866
If we subtract 450 from 500, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

After the division, we end up with 500.866 and a remainder of 0.005.