We look at the division of 6572593 by 645 
Our goal is to divide 6572593 by 645.

Step 1:
The number 645 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 645

On to step 2:
65 divided by 645 is 0 with a remainder of 65.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 65 to get 65.
Fetch the next digit (7) from the dividend, attach it to 65 and continue: 657 / 645

Advancing to step 3:
When dividing 657 by 645, we get 1 with a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 645 from 657, we get 12.
Append the next digit (2) from the dividend to 12 and continue with: 122 / 645

Step 4:
The number 645 fits into 122 0 times, leaving a remainder of 122.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
The remainder is 122 after subtracting 0 from 122.
Grab the next digit (5) from the dividend, add it to 122, then carry on: 1225 / 645

Advancing to step 5:
If we divide 1225 by 645, we get 1 and a remainder of 580.
The number 1 becomes the next digit in our result. 
Result so far: 101.0
Subtracting 645 from 1225 leaves us with 580.
Grab the next digit (9) from the dividend, add it to 580, then carry on: 5809 / 645

Step 6:
If we divide 5809 by 645, we get 9 and a remainder of 4.
The next digit of our result is 9. 
Result so far: 1019.0
If we take 5805 away from 5809, we end up with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 645

Advancing to step 7:
43 divided by 645 is 0 with a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 10190.0
If we take 0 away from 43, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 8:
430 divided by 645 is 0 with a remainder of 430.
Write down 0 as next digit of the result. 
Result so far: 10190.0
Deduct 0 from 430 and we're left with 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4300, and continue the process.

Step 9:
645 can be fit into 4300 6 times, resulting in a remainder of 430.
Use 6 as the next digit of our solution. 
Result so far: 10190.06
Subtracting 3870 from 4300 leaves us with 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4300, and continue the process.

On to step 10:
The number 645 fits into 4300 6 times, leaving a remainder of 430.
The number 6 becomes the next digit in our result. 
Result so far: 10190.066
Subtracting 3870 from 4300 leaves us with 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4300, and continue the process.

The final result is 10190.066 with a remainder of 0.043.