We look at the division of 175963 by 91 
Our goal is to divide 175963 by 91.

Let's proceed to step 1:
The number 91 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 91

Advancing to step 2:
If we divide 17 by 91, we get 0 and a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 17, we end up with 17.
Grab the next digit (5) from the dividend, add it to 17, then carry on: 175 / 91

On to step 3:
The number 91 fits into 175 1 times, leaving a remainder of 84.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 91 from 175 to get 84.
Append the next digit (9) from the dividend to 84 and continue with: 849 / 91

Going ahead to step 4:
91 goes into 849 9 times with a remainder of 30.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
Deduct 819 from 849 and we're left with 30.
Append the next digit (6) from the dividend to 30 and continue with: 306 / 91

On to step 5:
91 can be fit into 306 3 times, resulting in a remainder of 33.
The number 3 becomes the next digit in our result. 
Result so far: 193.0
Subtract 273 from 306 to get 33.
Include the next digit (3) from the dividend after 33, then repeat: 333 / 91

Going ahead to step 6:
91 goes into 333 3 times with a remainder of 60.
Put 3 as the next digit of the answer. 
Result so far: 1933.0
Deduct 273 from 333 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 7:
The number 91 fits into 600 6 times, leaving a remainder of 54.
Write down 6 as next digit of the result. 
Result so far: 1933.6
Subtracting 546 from 600 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 8:
If we divide 540 by 91, we get 5 and a remainder of 85.
Record the quotient 5 as the next digit in the result. 
Result so far: 1933.65
If we subtract 455 from 540, we get 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Moving on to step 9:
When dividing 850 by 91, we get 9 with a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 1933.659
The remainder is 31 after subtracting 819 from 850.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 10:
When dividing 310 by 91, we get 3 with a remainder of 37.
The number 3 becomes the next digit in our result. 
Result so far: 1933.6593
Subtract 273 from 310 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 11:
The number 91 fits into 370 4 times, leaving a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 1933.65934
The remainder is 6 after subtracting 364 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 12:
91 goes into 60 0 times with a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 1933.65934
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 13:
91 goes into 600 6 times with a remainder of 54.
The number 6 becomes the next digit in our result. 
Result so far: 1933.6593406
Subtracting 546 from 600 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 14:
The number 91 fits into 540 5 times, leaving a remainder of 85.
The next digit of our result is 5. 
Result so far: 1933.65934065
Subtracting 455 from 540 leaves us with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

After the division, we end up with 1933.65934065 and a remainder of 8.5e-08.