We look at the division of 61309 by 75 
We want to divide 61309 by 75.

On to step 1:
When dividing 6 by 75, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 75

Advancing to step 2:
When dividing 61 by 75, we get 0 with a remainder of 61.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 61 and we're left with 61.
Include the next digit (3) from the dividend after 61, then repeat: 613 / 75

Step 3:
When dividing 613 by 75, we get 8 with a remainder of 13.
The next digit of our result is 8. 
Result so far: 8.0
If we take 600 away from 613, we end up with 13.
Grab the next digit (0) from the dividend, add it to 13, then carry on: 130 / 75

Advancing to step 4:
75 goes into 130 1 times with a remainder of 55.
Record the quotient 1 as the next digit in the result. 
Result so far: 81.0
The remainder is 55 after subtracting 75 from 130.
Fetch the next digit (9) from the dividend, attach it to 55 and continue: 559 / 75

Moving on to step 5:
75 can be fit into 559 7 times, resulting in a remainder of 34.
Write down 7 as next digit of the result. 
Result so far: 817.0
Deduct 525 from 559 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 6:
If we divide 340 by 75, we get 4 and a remainder of 40.
The next digit of our result is 4. 
Result so far: 817.4
The remainder is 40 after subtracting 300 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 7:
75 goes into 400 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 817.45
Deduct 375 from 400 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.

On to step 8:
If we divide 250 by 75, we get 3 and a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 817.453
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 9:
The number 75 fits into 250 3 times, leaving a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 817.4533
If we take 225 away from 250, 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.

The quotient of the division is 817.4533, and the remainder is 0.00025.