We're dividing 6564712 by 653 
Our goal is to divide 6564712 by 653.

Going ahead to step 1:
653 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 653

Advancing to step 2:
The number 653 fits into 65 0 times, leaving a remainder of 65.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 65 to get 65.
Take the next digit (6) from the dividend and append it to 65, then repeat: 656 / 653

On to step 3:
When dividing 656 by 653, we get 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 653 away from 656, we end up with 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 653

Advancing to step 4:
The number 653 fits into 34 0 times, leaving a remainder of 34.
The next digit of our result is 0. 
Result so far: 10.0
If we take 0 away from 34, we end up with 34.
Include the next digit (7) from the dividend after 34, then repeat: 347 / 653

Step 5:
653 goes into 347 0 times with a remainder of 347.
Put 0 as the next digit of the answer. 
Result so far: 100.0
If we subtract 0 from 347, we get 347.
Grab the next digit (1) from the dividend, add it to 347, then carry on: 3471 / 653

Moving on to step 6:
653 goes into 3471 5 times with a remainder of 206.
The next digit of our result is 5. 
Result so far: 1005.0
Deduct 3265 from 3471 and we're left with 206.
Take the next digit (2) from the dividend and append it to 206, then repeat: 2062 / 653

Step 7:
2062 divided by 653 is 3 with a remainder of 103.
Put 3 as the next digit of the answer. 
Result so far: 10053.0
The remainder is 103 after subtracting 1959 from 2062.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1030, and continue the process.

Moving on to step 8:
1030 divided by 653 is 1 with a remainder of 377.
Record the quotient 1 as the next digit in the result. 
Result so far: 10053.1
If we subtract 653 from 1030, we get 377.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3770, and continue the process.

On to step 9:
If we divide 3770 by 653, we get 5 and a remainder of 505.
Record the quotient 5 as the next digit in the result. 
Result so far: 10053.15
If we subtract 3265 from 3770, we get 505.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5050, and continue the process.

Advancing to step 10:
5050 divided by 653 is 7 with a remainder of 479.
Use 7 as the next digit of our solution. 
Result so far: 10053.157
If we subtract 4571 from 5050, we get 479.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4790, and continue the process.

Advancing to step 11:
The number 653 fits into 4790 7 times, leaving a remainder of 219.
Record the quotient 7 as the next digit in the result. 
Result so far: 10053.1577
If we take 4571 away from 4790, we end up with 219.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2190, and continue the process.

The quotient of the division is 10053.1577, and the remainder is 0.00219.