We look at the division of 625963 by 95 
Our goal is to divide 625963 by 95.

Step 1:
95 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 95

Moving on to step 2:
95 can be fit into 62 0 times, resulting in a remainder of 62.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 62 after subtracting 0 from 62.
Take the next digit (5) from the dividend and append it to 62, then repeat: 625 / 95

Going ahead to step 3:
The number 95 fits into 625 6 times, leaving a remainder of 55.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 570 from 625 to get 55.
Take the next digit (9) from the dividend and append it to 55, then repeat: 559 / 95

Let's proceed to step 4:
95 can be fit into 559 5 times, resulting in a remainder of 84.
Write down 5 as next digit of the result. 
Result so far: 65.0
Deduct 475 from 559 and we're left with 84.
Grab the next digit (6) from the dividend, add it to 84, then carry on: 846 / 95

Going ahead to step 5:
846 divided by 95 is 8 with a remainder of 86.
Put 8 as the next digit of the answer. 
Result so far: 658.0
If we subtract 760 from 846, we get 86.
Bring next digit (3) of the dividend behind the 86 and repeat the process: 863 / 95

Going ahead to step 6:
When dividing 863 by 95, we get 9 with a remainder of 8.
The number 9 becomes the next digit in our result. 
Result so far: 6589.0
The remainder is 8 after subtracting 855 from 863.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 7:
The number 95 fits into 80 0 times, leaving a remainder of 80.
The number 0 becomes the next digit in our result. 
Result so far: 6589.0
Deduct 0 from 80 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 8:
95 goes into 800 8 times with a remainder of 40.
Use 8 as the next digit of our solution. 
Result so far: 6589.08
Subtract 760 from 800 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 9:
The number 95 fits into 400 4 times, leaving a remainder of 20.
Put 4 as the next digit of the answer. 
Result so far: 6589.084
Subtracting 380 from 400 leaves us 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.

Let's proceed to step 10:
The number 95 fits into 200 2 times, leaving a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 6589.0842
Subtracting 190 from 200 leaves us with 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 11:
When dividing 100 by 95, we get 1 with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 6589.08421
The remainder is 5 after subtracting 95 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 12:
95 goes into 50 0 times with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 6589.08421
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 13:
If we divide 500 by 95, we get 5 and a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 6589.0842105
If we take 475 away from 500, we end up with 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 14:
If we divide 250 by 95, we get 2 and a remainder of 60.
Record the quotient 2 as the next digit in the result. 
Result so far: 6589.08421052
If we take 190 away from 250, we end up 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.

The quotient of the division is 6589.08421052, and the remainder is 6e-08.