We look at the division of 636599 by 95 
Our goal is to divide 636599 by 95.

Advancing to step 1:
The number 95 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 95

On to step 2:
If we divide 63 by 95, we get 0 and a remainder of 63.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 63, we get 63.
Fetch the next digit (6) from the dividend, attach it to 63 and continue: 636 / 95

Advancing to step 3:
If we divide 636 by 95, we get 6 and a remainder of 66.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 570 from 636 to get 66.
Include the next digit (5) from the dividend after 66, then repeat: 665 / 95

Advancing to step 4:
95 goes into 665 7 times with a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 67.0
If we subtract 665 from 665, we get 0.
Fetch the next digit (9) from the dividend, attach it to 0 and continue: 9 / 95

On to step 5:
95 goes into 9 0 times with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 670.0
Subtract 0 from 9 to get 9.
Bring next digit (9) of the dividend behind the 9 and repeat the process: 99 / 95

Step 6:
When dividing 99 by 95, we get 1 with a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 6701.0
If we take 95 away from 99, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
95 goes into 40 0 times with a remainder of 40.
The next digit of our result is 0. 
Result so far: 6701.0
Subtracting 0 from 40 leaves us with 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 8:
95 can be fit into 400 4 times, resulting in a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 6701.04
If we subtract 380 from 400, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 9:
When dividing 200 by 95, we get 2 with a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 6701.042
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.

Advancing to step 10:
If we divide 100 by 95, we get 1 and a remainder of 5.
The next digit of our result is 1. 
Result so far: 6701.0421
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 11:
95 can be fit into 50 0 times, resulting in a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 6701.0421
Subtract 0 from 50 to 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 12:
500 divided by 95 is 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 6701.042105
Subtracting 475 from 500 leaves us 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 13:
95 can be fit into 250 2 times, resulting in a remainder of 60.
Use 2 as the next digit of our solution. 
Result so far: 6701.0421052
Deduct 190 from 250 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.

On to step 14:
The number 95 fits into 600 6 times, leaving a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 6701.04210526
The remainder is 30 after subtracting 570 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

In conclusion, the division gives 6701.04210526 with a balance of 3e-08.