We're dividing 641369 by 75 
We want to divide 641369 by 75.

Moving on to step 1:
6 divided by 75 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 75

Step 2:
75 goes into 64 0 times with a remainder of 64.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 64 to get 64.
Include the next digit (1) from the dividend after 64, then repeat: 641 / 75

Moving on to step 3:
75 goes into 641 8 times with a remainder of 41.
Write down 8 as next digit of the result. 
Result so far: 8.0
If we subtract 600 from 641, we get 41.
Append the next digit (3) from the dividend to 41 and continue with: 413 / 75

Moving on to step 4:
If we divide 413 by 75, we get 5 and a remainder of 38.
Write down 5 as next digit of the result. 
Result so far: 85.0
Deduct 375 from 413 and we're left with 38.
Take the next digit (6) from the dividend and append it to 38, then repeat: 386 / 75

Moving on to step 5:
386 divided by 75 is 5 with a remainder of 11.
Use 5 as the next digit of our solution. 
Result so far: 855.0
The remainder is 11 after subtracting 375 from 386.
Include the next digit (9) from the dividend after 11, then repeat: 119 / 75

Moving on to step 6:
When dividing 119 by 75, we get 1 with a remainder of 44.
Use 1 as the next digit of our solution. 
Result so far: 8551.0
If we subtract 75 from 119, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 7:
75 goes into 440 5 times with a remainder of 65.
Write down 5 as next digit of the result. 
Result so far: 8551.5
If we take 375 away from 440, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Moving on to step 8:
The number 75 fits into 650 8 times, leaving a remainder of 50.
Use 8 as the next digit of our solution. 
Result so far: 8551.58
If we take 600 away from 650, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 9:
75 can be fit into 500 6 times, resulting in a remainder of 50.
The next digit of our result is 6. 
Result so far: 8551.586
The remainder is 50 after subtracting 450 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 10:
If we divide 500 by 75, we get 6 and a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 8551.5866
Deduct 450 from 500 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

After the division, we end up with 8551.5866 and a remainder of 0.0005.