8697721 ÷ 653 
Let's see how many times 653 fits into 8697721.

Let's proceed to step 1:
653 goes into 8 0 times with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 653

Moving on to step 2:
The number 653 fits into 86 0 times, leaving a remainder of 86.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 86, we end up with 86.
Grab the next digit (9) from the dividend, add it to 86, then carry on: 869 / 653

Let's proceed to step 3:
869 divided by 653 is 1 with a remainder of 216.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 653 from 869 leaves us with 216.
Append the next digit (7) from the dividend to 216 and continue with: 2167 / 653

Moving on to step 4:
2167 divided by 653 is 3 with a remainder of 208.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
The remainder is 208 after subtracting 1959 from 2167.
Take the next digit (7) from the dividend and append it to 208, then repeat: 2087 / 653

Let's proceed to step 5:
The number 653 fits into 2087 3 times, leaving a remainder of 128.
The number 3 becomes the next digit in our result. 
Result so far: 133.0
If we take 1959 away from 2087, we end up with 128.
Take the next digit (2) from the dividend and append it to 128, then repeat: 1282 / 653

Let's proceed to step 6:
If we divide 1282 by 653, we get 1 and a remainder of 629.
Record the quotient 1 as the next digit in the result. 
Result so far: 1331.0
If we subtract 653 from 1282, we get 629.
Grab the next digit (1) from the dividend, add it to 629, then carry on: 6291 / 653

Step 7:
653 can be fit into 6291 9 times, resulting in a remainder of 414.
The next digit of our result is 9. 
Result so far: 13319.0
If we take 5877 away from 6291, we end up with 414.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4140, and continue the process.

On to step 8:
If we divide 4140 by 653, we get 6 and a remainder of 222.
The next digit of our result is 6. 
Result so far: 13319.6
If we take 3918 away from 4140, we end up with 222.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2220, and continue the process.

Going ahead to step 9:
If we divide 2220 by 653, we get 3 and a remainder of 261.
Put 3 as the next digit of the answer. 
Result so far: 13319.63
If we take 1959 away from 2220, we end up with 261.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2610, and continue the process.

Going ahead to step 10:
If we divide 2610 by 653, we get 3 and a remainder of 651.
Record the quotient 3 as the next digit in the result. 
Result so far: 13319.633
Subtracting 1959 from 2610 leaves us with 651.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6510, and continue the process.

In conclusion, the division gives 13319.633 with a balance of 0.0651.