We divide 10506509 by 653
Our goal is to divide 10506509 by 653.

Going ahead to step 1:
653 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 653

Let's proceed to step 2:
If we divide 10 by 653, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 653

Advancing to step 3:
653 goes into 105 0 times with a remainder of 105.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 105 and we're left with 105.
Fetch the next digit (0) from the dividend, attach it to 105 and continue: 1050 / 653

On to step 4:
1050 divided by 653 is 1 with a remainder of 397.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 653 from 1050 to get 397.
Include the next digit (6) from the dividend after 397, then repeat: 3976 / 653

Moving on to step 5:
When dividing 3976 by 653, we get 6 with a remainder of 58.
The next digit of our result is 6. 
Result so far: 16.0
Subtracting 3918 from 3976 leaves us with 58.
Bring next digit (5) of the dividend behind the 58 and repeat the process: 585 / 653

Moving on to step 6:
When dividing 585 by 653, we get 0 with a remainder of 585.
The next digit of our result is 0. 
Result so far: 160.0
Subtracting 0 from 585 leaves us with 585.
Bring next digit (0) of the dividend behind the 585 and repeat the process: 5850 / 653

On to step 7:
The number 653 fits into 5850 8 times, leaving a remainder of 626.
The next digit of our result is 8. 
Result so far: 1608.0
Subtract 5224 from 5850 to get 626.
Grab the next digit (9) from the dividend, add it to 626, then carry on: 6269 / 653

On to step 8:
The number 653 fits into 6269 9 times, leaving a remainder of 392.
Write down 9 as next digit of the result. 
Result so far: 16089.0
Deduct 5877 from 6269 and we're left with 392.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3920, and continue the process.

Let's proceed to step 9:
When dividing 3920 by 653, we get 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 16089.6
The remainder is 2 after subtracting 3918 from 3920.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 10:
When dividing 20 by 653, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 16089.6
If we take 0 away from 20, we end up 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.

Step 11:
The number 653 fits into 200 0 times, leaving a remainder of 200.
The next digit of our result is 0. 
Result so far: 16089.6
The remainder is 200 after subtracting 0 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

The final result is 16089.6 with a remainder of 0.02.