We look at the division of 614521 by 913 
We want to figure out the number of times 614521 can be divided by 913.

On to step 1:
913 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 913

Let's proceed to step 2:
If we divide 61 by 913, we get 0 and a remainder of 61.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 61, we end up with 61.
Include the next digit (4) from the dividend after 61, then repeat: 614 / 913

Let's proceed to step 3:
When dividing 614 by 913, we get 0 with a remainder of 614.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 614 and we're left with 614.
Include the next digit (5) from the dividend after 614, then repeat: 6145 / 913

Moving on to step 4:
When dividing 6145 by 913, we get 6 with a remainder of 667.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we take 5478 away from 6145, we end up with 667.
Bring next digit (2) of the dividend behind the 667 and repeat the process: 6672 / 913

Step 5:
6672 divided by 913 is 7 with a remainder of 281.
Record the quotient 7 as the next digit in the result. 
Result so far: 67.0
The remainder is 281 after subtracting 6391 from 6672.
Include the next digit (1) from the dividend after 281, then repeat: 2811 / 913

Step 6:
913 can be fit into 2811 3 times, resulting in a remainder of 72.
Put 3 as the next digit of the answer. 
Result so far: 673.0
Subtracting 2739 from 2811 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 7:
The number 913 fits into 720 0 times, leaving a remainder of 720.
Record the quotient 0 as the next digit in the result. 
Result so far: 673.0
Deduct 0 from 720 and we're left with 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7200, and continue the process.

Step 8:
If we divide 7200 by 913, we get 7 and a remainder of 809.
Use 7 as the next digit of our solution. 
Result so far: 673.07
Subtract 6391 from 7200 to get 809.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8090, and continue the process.

On to step 9:
The number 913 fits into 8090 8 times, leaving a remainder of 786.
The next digit of our result is 8. 
Result so far: 673.078
If we take 7304 away from 8090, we end up with 786.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7860, and continue the process.

Going ahead to step 10:
913 goes into 7860 8 times with a remainder of 556.
The number 8 becomes the next digit in our result. 
Result so far: 673.0788
Subtract 7304 from 7860 to get 556.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5560, and continue the process.

In conclusion, the division gives 673.0788 with a balance of 0.00556.