We look at the division of 9604641 by 614 
Our goal is to divide 9604641 by 614.

Step 1:
When dividing 9 by 614, we get 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 614

Advancing to step 2:
When dividing 96 by 614, we get 0 with a remainder of 96.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 96 and we're left with 96.
Append the next digit (0) from the dividend to 96 and continue with: 960 / 614

Moving on to step 3:
The number 614 fits into 960 1 times, leaving a remainder of 346.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 614 from 960 to get 346.
Append the next digit (4) from the dividend to 346 and continue with: 3464 / 614

Advancing to step 4:
614 can be fit into 3464 5 times, resulting in a remainder of 394.
The next digit of our result is 5. 
Result so far: 15.0
Subtracting 3070 from 3464 leaves us with 394.
Append the next digit (6) from the dividend to 394 and continue with: 3946 / 614

Advancing to step 5:
If we divide 3946 by 614, we get 6 and a remainder of 262.
The number 6 becomes the next digit in our result. 
Result so far: 156.0
Deduct 3684 from 3946 and we're left with 262.
Bring next digit (4) of the dividend behind the 262 and repeat the process: 2624 / 614

Advancing to step 6:
614 goes into 2624 4 times with a remainder of 168.
Write down 4 as next digit of the result. 
Result so far: 1564.0
Subtract 2456 from 2624 to get 168.
Append the next digit (1) from the dividend to 168 and continue with: 1681 / 614

Step 7:
614 can be fit into 1681 2 times, resulting in a remainder of 453.
The next digit of our result is 2. 
Result so far: 15642.0
Subtracting 1228 from 1681 leaves us with 453.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4530, and continue the process.

On to step 8:
The number 614 fits into 4530 7 times, leaving a remainder of 232.
Use 7 as the next digit of our solution. 
Result so far: 15642.7
Deduct 4298 from 4530 and we're left with 232.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2320, and continue the process.

Moving on to step 9:
If we divide 2320 by 614, we get 3 and a remainder of 478.
The next digit of our result is 3. 
Result so far: 15642.73
Subtract 1842 from 2320 to get 478.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4780, and continue the process.

Let's proceed to step 10:
When dividing 4780 by 614, we get 7 with a remainder of 482.
The number 7 becomes the next digit in our result. 
Result so far: 15642.737
If we take 4298 away from 4780, we end up with 482.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4820, and continue the process.

Moving on to step 11:
614 goes into 4820 7 times with a remainder of 522.
The number 7 becomes the next digit in our result. 
Result so far: 15642.7377
Subtracting 4298 from 4820 leaves us with 522.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5220, and continue the process.

In conclusion, the division gives 15642.7377 with a balance of 0.00522.