We're dividing 645916 by 61 
We want to figure out the number of times 645916 can be divided by 61.

Step 1:
When dividing 6 by 61, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 61

Let's proceed to step 2:
64 divided by 61 is 1 with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 61 from 64 and we're left with 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 61

Moving on to step 3:
The number 61 fits into 35 0 times, leaving a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 35 and we're left with 35.
Bring next digit (9) of the dividend behind the 35 and repeat the process: 359 / 61

Moving on to step 4:
The number 61 fits into 359 5 times, leaving a remainder of 54.
Use 5 as the next digit of our solution. 
Result so far: 105.0
Subtract 305 from 359 to get 54.
Append the next digit (1) from the dividend to 54 and continue with: 541 / 61

Step 5:
The number 61 fits into 541 8 times, leaving a remainder of 53.
Record the quotient 8 as the next digit in the result. 
Result so far: 1058.0
Deduct 488 from 541 and we're left with 53.
Grab the next digit (6) from the dividend, add it to 53, then carry on: 536 / 61

Let's proceed to step 6:
The number 61 fits into 536 8 times, leaving a remainder of 48.
Use 8 as the next digit of our solution. 
Result so far: 10588.0
Subtract 488 from 536 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 7:
480 divided by 61 is 7 with a remainder of 53.
Use 7 as the next digit of our solution. 
Result so far: 10588.7
Subtracting 427 from 480 leaves us with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Moving on to step 8:
61 can be fit into 530 8 times, resulting in a remainder of 42.
Write down 8 as next digit of the result. 
Result so far: 10588.78
The remainder is 42 after subtracting 488 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 9:
When dividing 420 by 61, we get 6 with a remainder of 54.
Use 6 as the next digit of our solution. 
Result so far: 10588.786
If we take 366 away from 420, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 10:
When dividing 540 by 61, we get 8 with a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 10588.7868
Subtracting 488 from 540 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 11:
If we divide 520 by 61, we get 8 and a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 10588.78688
Subtracting 488 from 520 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final result is 10588.78688 with a remainder of 3.2e-05.