620641 ÷ 75 
Let's see how many times 75 fits into 620641.

On to step 1:
If we divide 6 by 75, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 75

On to step 2:
62 divided by 75 is 0 with a remainder of 62.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 62 after subtracting 0 from 62.
Fetch the next digit (0) from the dividend, attach it to 62 and continue: 620 / 75

On to step 3:
If we divide 620 by 75, we get 8 and a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we subtract 600 from 620, we get 20.
Grab the next digit (6) from the dividend, add it to 20, then carry on: 206 / 75

Moving on to step 4:
The number 75 fits into 206 2 times, leaving a remainder of 56.
Write down 2 as next digit of the result. 
Result so far: 82.0
The remainder is 56 after subtracting 150 from 206.
Fetch the next digit (4) from the dividend, attach it to 56 and continue: 564 / 75

Let's proceed to step 5:
75 can be fit into 564 7 times, resulting in a remainder of 39.
Write down 7 as next digit of the result. 
Result so far: 827.0
If we subtract 525 from 564, we get 39.
Append the next digit (1) from the dividend to 39 and continue with: 391 / 75

Moving on to step 6:
When dividing 391 by 75, we get 5 with a remainder of 16.
The next digit of our result is 5. 
Result so far: 8275.0
Subtract 375 from 391 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 7:
160 divided by 75 is 2 with a remainder of 10.
The next digit of our result is 2. 
Result so far: 8275.2
If we subtract 150 from 160, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
When dividing 100 by 75, we get 1 with a remainder of 25.
Put 1 as the next digit of the answer. 
Result so far: 8275.21
If we subtract 75 from 100, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 9:
75 goes into 250 3 times with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 8275.213
Deduct 225 from 250 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 10:
250 divided by 75 is 3 with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 8275.2133
If we subtract 225 from 250, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

In conclusion, the division gives 8275.2133 with a balance of 0.00025.