601000 ÷ 75 
We want to figure out the number of times 601000 can be divided by 75.

Step 1:
The number 75 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 75

Step 2:
When dividing 60 by 75, we get 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 60, we get 60.
Append the next digit (1) from the dividend to 60 and continue with: 601 / 75

Going ahead to step 3:
75 can be fit into 601 8 times, resulting in a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we take 600 away from 601, we end up with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 75

Going ahead to step 4:
The number 75 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 80.0
Subtract 0 from 10 to get 10.
Include the next digit (0) from the dividend after 10, then repeat: 100 / 75

Moving on to step 5:
If we divide 100 by 75, we get 1 and a remainder of 25.
The number 1 becomes the next digit in our result. 
Result so far: 801.0
Subtract 75 from 100 to get 25.
Bring next digit (0) of the dividend behind the 25 and repeat the process: 250 / 75

Moving on to step 6:
When dividing 250 by 75, we get 3 with a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 8013.0
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 7:
250 divided by 75 is 3 with a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 8013.3
Subtract 225 from 250 to 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.

On to step 8:
250 divided by 75 is 3 with a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 8013.33
Subtracting 225 from 250 leaves us 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.

The final outcome is 8013.33, with a leftover of 0.025.