We divide 610399 by 75
We're looking to find how many times 75 goes into 610399.

Step 1:
If we divide 6 by 75, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 75

Advancing to step 2:
If we divide 61 by 75, we get 0 and a remainder of 61.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 61 to get 61.
Include the next digit (0) from the dividend after 61, then repeat: 610 / 75

Advancing to step 3:
75 can be fit into 610 8 times, resulting in a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtract 600 from 610 to get 10.
Bring next digit (3) of the dividend behind the 10 and repeat the process: 103 / 75

On to step 4:
75 can be fit into 103 1 times, resulting in a remainder of 28.
The number 1 becomes the next digit in our result. 
Result so far: 81.0
Deduct 75 from 103 and we're left with 28.
Grab the next digit (9) from the dividend, add it to 28, then carry on: 289 / 75

On to step 5:
75 goes into 289 3 times with a remainder of 64.
Use 3 as the next digit of our solution. 
Result so far: 813.0
If we take 225 away from 289, we end up with 64.
Take the next digit (9) from the dividend and append it to 64, then repeat: 649 / 75

Let's proceed to step 6:
75 can be fit into 649 8 times, resulting in a remainder of 49.
Put 8 as the next digit of the answer. 
Result so far: 8138.0
Deduct 600 from 649 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Let's proceed to step 7:
If we divide 490 by 75, we get 6 and a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 8138.6
Subtract 450 from 490 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 8:
When dividing 400 by 75, we get 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 8138.65
If we take 375 away from 400, 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:
If we divide 250 by 75, we get 3 and a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 8138.653
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.

On to step 10:
75 can be fit into 250 3 times, resulting in a remainder of 25.
The next digit of our result is 3. 
Result so far: 8138.6533
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.

The final result is 8138.6533 with a remainder of 0.00025.