75585 ÷ 91 
We want to divide 75585 by 91.

Advancing to step 1:
7 divided by 91 is 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 91

On to step 2:
91 goes into 75 0 times with a remainder of 75.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 75 leaves us with 75.
Append the next digit (5) from the dividend to 75 and continue with: 755 / 91

On to step 3:
91 can be fit into 755 8 times, resulting in a remainder of 27.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtracting 728 from 755 leaves us with 27.
Grab the next digit (8) from the dividend, add it to 27, then carry on: 278 / 91

Moving on to step 4:
91 goes into 278 3 times with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 83.0
If we subtract 273 from 278, we get 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 91

Step 5:
When dividing 55 by 91, we get 0 with a remainder of 55.
Put 0 as the next digit of the answer. 
Result so far: 830.0
If we subtract 0 from 55, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 6:
91 can be fit into 550 6 times, resulting in a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 830.6
If we take 546 away from 550, we end up 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 7:
If we divide 40 by 91, we get 0 and a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 830.6
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
91 goes into 400 4 times with a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 830.604
Subtracting 364 from 400 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 9:
The number 91 fits into 360 3 times, leaving a remainder of 87.
Put 3 as the next digit of the answer. 
Result so far: 830.6043
Deduct 273 from 360 and we're left with 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

On to step 10:
91 can be fit into 870 9 times, resulting in a remainder of 51.
The number 9 becomes the next digit in our result. 
Result so far: 830.60439
If we subtract 819 from 870, we get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 11:
When dividing 510 by 91, we get 5 with a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 830.604395
Subtract 455 from 510 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 12:
The number 91 fits into 550 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 830.6043956
The remainder is 4 after subtracting 546 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 13:
If we divide 40 by 91, we get 0 and a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 830.6043956
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

After the division, we end up with 830.6043956 and a remainder of 4e-08.