Let's divide 601993 by 75
We're looking to find how many times 75 goes into 601993.

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.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 75

Advancing to step 2:
60 divided by 75 is 0 with a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 60 leaves us with 60.
Grab the next digit (1) from the dividend, add it to 60, then carry on: 601 / 75

On to step 3:
75 goes into 601 8 times with a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Deduct 600 from 601 and we're left with 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 75

Advancing to step 4:
19 divided by 75 is 0 with a remainder of 19.
Put 0 as the next digit of the answer. 
Result so far: 80.0
If we take 0 away from 19, we end up with 19.
Grab the next digit (9) from the dividend, add it to 19, then carry on: 199 / 75

Let's proceed to step 5:
75 can be fit into 199 2 times, resulting in a remainder of 49.
Use 2 as the next digit of our solution. 
Result so far: 802.0
If we subtract 150 from 199, we get 49.
Take the next digit (3) from the dividend and append it to 49, then repeat: 493 / 75

Moving on to step 6:
When dividing 493 by 75, we get 6 with a remainder of 43.
Record the quotient 6 as the next digit in the result. 
Result so far: 8026.0
Subtract 450 from 493 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 7:
If we divide 430 by 75, we get 5 and a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 8026.5
The remainder is 55 after subtracting 375 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 8:
When dividing 550 by 75, we get 7 with a remainder of 25.
Record the quotient 7 as the next digit in the result. 
Result so far: 8026.57
If we take 525 away from 550, we end up 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.

On to step 9:
The number 75 fits into 250 3 times, leaving a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 8026.573
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.

Advancing to step 10:
250 divided by 75 is 3 with a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 8026.5733
The remainder is 25 after subtracting 225 from 250.
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 result is 8026.5733 with a remainder of 0.00025.