We divide 645319 by 95
We want to divide 645319 by 95.

Let's proceed to step 1:
When dividing 6 by 95, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 95

On to step 2:
95 can be fit into 64 0 times, resulting in a remainder of 64.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 64 to get 64.
Include the next digit (5) from the dividend after 64, then repeat: 645 / 95

Going ahead to step 3:
95 goes into 645 6 times with a remainder of 75.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 570 from 645 to get 75.
Bring next digit (3) of the dividend behind the 75 and repeat the process: 753 / 95

Step 4:
95 can be fit into 753 7 times, resulting in a remainder of 88.
Write down 7 as next digit of the result. 
Result so far: 67.0
Deduct 665 from 753 and we're left with 88.
Append the next digit (1) from the dividend to 88 and continue with: 881 / 95

Moving on to step 5:
95 goes into 881 9 times with a remainder of 26.
Write down 9 as next digit of the result. 
Result so far: 679.0
If we subtract 855 from 881, we get 26.
Include the next digit (9) from the dividend after 26, then repeat: 269 / 95

Moving on to step 6:
95 can be fit into 269 2 times, resulting in a remainder of 79.
The next digit of our result is 2. 
Result so far: 6792.0
If we take 190 away from 269, we end up with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Moving on to step 7:
95 goes into 790 8 times with a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 6792.8
Deduct 760 from 790 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 8:
95 goes into 300 3 times with a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 6792.83
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.

Let's proceed to step 9:
95 goes into 150 1 times with a remainder of 55.
Record the quotient 1 as the next digit in the result. 
Result so far: 6792.831
If we subtract 95 from 150, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 10:
If we divide 550 by 95, we get 5 and a remainder of 75.
The number 5 becomes the next digit in our result. 
Result so far: 6792.8315
Subtract 475 from 550 to get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

On to step 11:
95 goes into 750 7 times with a remainder of 85.
Use 7 as the next digit of our solution. 
Result so far: 6792.83157
If we subtract 665 from 750, we get 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Going ahead to step 12:
850 divided by 95 is 8 with a remainder of 90.
The next digit of our result is 8. 
Result so far: 6792.831578
Deduct 760 from 850 and we're left 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.

Step 13:
95 can be fit into 900 9 times, resulting in a remainder of 45.
Put 9 as the next digit of the answer. 
Result so far: 6792.8315789
Deduct 855 from 900 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 14:
95 goes into 450 4 times with a remainder of 70.
The number 4 becomes the next digit in our result. 
Result so far: 6792.83157894
Subtract 380 from 450 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

In conclusion, the division gives 6792.83157894 with a balance of 7e-08.