We're dividing 961563 by 93 
Our goal is to divide 961563 by 93.

Advancing to step 1:
The number 93 fits into 9 0 times, leaving a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 93

Going ahead to step 2:
96 divided by 93 is 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 3 after subtracting 93 from 96.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 93

Moving on to step 3:
93 goes into 31 0 times with a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Deduct 0 from 31 and we're left with 31.
Take the next digit (5) from the dividend and append it to 31, then repeat: 315 / 93

On to step 4:
93 goes into 315 3 times with a remainder of 36.
The next digit of our result is 3. 
Result so far: 103.0
Subtract 279 from 315 to get 36.
Bring next digit (6) of the dividend behind the 36 and repeat the process: 366 / 93

Moving on to step 5:
366 divided by 93 is 3 with a remainder of 87.
Put 3 as the next digit of the answer. 
Result so far: 1033.0
Deduct 279 from 366 and we're left with 87.
Take the next digit (3) from the dividend and append it to 87, then repeat: 873 / 93

Going ahead to step 6:
93 can be fit into 873 9 times, resulting in a remainder of 36.
Use 9 as the next digit of our solution. 
Result so far: 10339.0
Deduct 837 from 873 and we're left 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.

Step 7:
93 can be fit into 360 3 times, resulting in a remainder of 81.
Put 3 as the next digit of the answer. 
Result so far: 10339.3
Subtract 279 from 360 to get 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Going ahead to step 8:
93 goes into 810 8 times with a remainder of 66.
Write down 8 as next digit of the result. 
Result so far: 10339.38
If we subtract 744 from 810, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 9:
When dividing 660 by 93, we get 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 10339.387
Deduct 651 from 660 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 10:
93 can be fit into 90 0 times, resulting in a remainder of 90.
Record the quotient 0 as the next digit in the result. 
Result so far: 10339.387
Subtracting 0 from 90 leaves us with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Advancing to step 11:
If we divide 900 by 93, we get 9 and a remainder of 63.
Record the quotient 9 as the next digit in the result. 
Result so far: 10339.38709
Deduct 837 from 900 and we're left with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Advancing to step 12:
If we divide 630 by 93, we get 6 and a remainder of 72.
The number 6 becomes the next digit in our result. 
Result so far: 10339.387096
If we subtract 558 from 630, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Let's proceed to step 13:
If we divide 720 by 93, we get 7 and a remainder of 69.
Record the quotient 7 as the next digit in the result. 
Result so far: 10339.3870967
The remainder is 69 after subtracting 651 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Advancing to step 14:
If we divide 690 by 93, we get 7 and a remainder of 39.
The number 7 becomes the next digit in our result. 
Result so far: 10339.38709677
Deduct 651 from 690 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

The final result is 10339.38709677 with a remainder of 3.9e-08.