We're dividing 95586294 by 961 
Our goal is to divide 95586294 by 961.

Moving on to step 1:
9 divided by 961 is 0 with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 961

On to step 2:
961 goes into 95 0 times with a remainder of 95.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 95 leaves us with 95.
Append the next digit (5) from the dividend to 95 and continue with: 955 / 961

Let's proceed to step 3:
961 can be fit into 955 0 times, resulting in a remainder of 955.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 955 leaves us with 955.
Include the next digit (8) from the dividend after 955, then repeat: 9558 / 961

Moving on to step 4:
961 goes into 9558 9 times with a remainder of 909.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtract 8649 from 9558 to get 909.
Take the next digit (6) from the dividend and append it to 909, then repeat: 9096 / 961

Let's proceed to step 5:
961 can be fit into 9096 9 times, resulting in a remainder of 447.
The number 9 becomes the next digit in our result. 
Result so far: 99.0
The remainder is 447 after subtracting 8649 from 9096.
Take the next digit (2) from the dividend and append it to 447, then repeat: 4472 / 961

Going ahead to step 6:
961 goes into 4472 4 times with a remainder of 628.
The next digit of our result is 4. 
Result so far: 994.0
Subtract 3844 from 4472 to get 628.
Grab the next digit (9) from the dividend, add it to 628, then carry on: 6289 / 961

Moving on to step 7:
The number 961 fits into 6289 6 times, leaving a remainder of 523.
The number 6 becomes the next digit in our result. 
Result so far: 9946.0
Deduct 5766 from 6289 and we're left with 523.
Append the next digit (4) from the dividend to 523 and continue with: 5234 / 961

On to step 8:
If we divide 5234 by 961, we get 5 and a remainder of 429.
The number 5 becomes the next digit in our result. 
Result so far: 99465.0
If we take 4805 away from 5234, we end up with 429.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4290, and continue the process.

Moving on to step 9:
4290 divided by 961 is 4 with a remainder of 446.
Write down 4 as next digit of the result. 
Result so far: 99465.4
Subtracting 3844 from 4290 leaves us with 446.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4460, and continue the process.

Going ahead to step 10:
4460 divided by 961 is 4 with a remainder of 616.
The next digit of our result is 4. 
Result so far: 99465.44
If we subtract 3844 from 4460, we get 616.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6160, and continue the process.

Our division results in 99465.44 with a remaining 0.616.