We look at the division of 263608 by 95 
We're looking to find how many times 95 goes into 263608.

Going ahead to step 1:
The number 95 fits into 2 0 times, leaving a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 95

Step 2:
When dividing 26 by 95, we get 0 with a remainder of 26.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 26 leaves us with 26.
Fetch the next digit (3) from the dividend, attach it to 26 and continue: 263 / 95

Step 3:
95 can be fit into 263 2 times, resulting in a remainder of 73.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtracting 190 from 263 leaves us with 73.
Append the next digit (6) from the dividend to 73 and continue with: 736 / 95

Moving on to step 4:
95 can be fit into 736 7 times, resulting in a remainder of 71.
The next digit of our result is 7. 
Result so far: 27.0
Subtracting 665 from 736 leaves us with 71.
Grab the next digit (0) from the dividend, add it to 71, then carry on: 710 / 95

Let's proceed to step 5:
If we divide 710 by 95, we get 7 and a remainder of 45.
The next digit of our result is 7. 
Result so far: 277.0
Subtract 665 from 710 to get 45.
Append the next digit (8) from the dividend to 45 and continue with: 458 / 95

Step 6:
458 divided by 95 is 4 with a remainder of 78.
Put 4 as the next digit of the answer. 
Result so far: 2774.0
If we subtract 380 from 458, we get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Moving on to step 7:
95 goes into 780 8 times with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 2774.8
If we take 760 away from 780, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
If we divide 200 by 95, we get 2 and a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 2774.82
If we subtract 190 from 200, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 9:
The number 95 fits into 100 1 times, leaving a remainder of 5.
The next digit of our result is 1. 
Result so far: 2774.821
Subtracting 95 from 100 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 10:
50 divided by 95 is 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 2774.821
If we take 0 away from 50, we end up with 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 11:
The number 95 fits into 500 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 2774.82105
If we subtract 475 from 500, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 12:
When dividing 250 by 95, we get 2 with a remainder of 60.
Write down 2 as next digit of the result. 
Result so far: 2774.821052
If we subtract 190 from 250, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 13:
The number 95 fits into 600 6 times, leaving a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 2774.8210526
If we subtract 570 from 600, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 14:
The number 95 fits into 300 3 times, leaving a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 2774.82105263
The remainder is 15 after subtracting 285 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

After the division, we end up with 2774.82105263 and a remainder of 1.5e-08.