501075 ÷ 617 
We want to figure out the number of times 501075 can be divided by 617.

Let's proceed to step 1:
617 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 617

Moving on to step 2:
617 goes into 50 0 times with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 50, we end up with 50.
Grab the next digit (1) from the dividend, add it to 50, then carry on: 501 / 617

Advancing to step 3:
617 can be fit into 501 0 times, resulting in a remainder of 501.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 501, we get 501.
Grab the next digit (0) from the dividend, add it to 501, then carry on: 5010 / 617

Advancing to step 4:
617 goes into 5010 8 times with a remainder of 74.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtract 4936 from 5010 to get 74.
Include the next digit (7) from the dividend after 74, then repeat: 747 / 617

Going ahead to step 5:
The number 617 fits into 747 1 times, leaving a remainder of 130.
Put 1 as the next digit of the answer. 
Result so far: 81.0
The remainder is 130 after subtracting 617 from 747.
Bring next digit (5) of the dividend behind the 130 and repeat the process: 1305 / 617

Going ahead to step 6:
617 goes into 1305 2 times with a remainder of 71.
Write down 2 as next digit of the result. 
Result so far: 812.0
The remainder is 71 after subtracting 1234 from 1305.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Moving on to step 7:
617 goes into 710 1 times with a remainder of 93.
The next digit of our result is 1. 
Result so far: 812.1
If we subtract 617 from 710, we get 93.
Since there are no more digits in the dividend, we add a zero to the remainder making it 930, and continue the process.

Let's proceed to step 8:
When dividing 930 by 617, we get 1 with a remainder of 313.
Put 1 as the next digit of the answer. 
Result so far: 812.11
The remainder is 313 after subtracting 617 from 930.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3130, and continue the process.

In conclusion, the division gives 812.11 with a balance of 0.313.