641406 ÷ 75 
We want to divide 641406 by 75.

Going ahead to step 1:
The number 75 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 75

Let's proceed to step 2:
If we divide 64 by 75, we get 0 and a remainder of 64.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 64, we end up with 64.
Grab the next digit (1) from the dividend, add it to 64, then carry on: 641 / 75

Step 3:
75 goes into 641 8 times with a remainder of 41.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
The remainder is 41 after subtracting 600 from 641.
Bring next digit (4) of the dividend behind the 41 and repeat the process: 414 / 75

Let's proceed to step 4:
75 can be fit into 414 5 times, resulting in a remainder of 39.
The next digit of our result is 5. 
Result so far: 85.0
Subtracting 375 from 414 leaves us with 39.
Fetch the next digit (0) from the dividend, attach it to 39 and continue: 390 / 75

On to step 5:
75 can be fit into 390 5 times, resulting in a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 855.0
Subtract 375 from 390 to get 15.
Fetch the next digit (6) from the dividend, attach it to 15 and continue: 156 / 75

Step 6:
75 goes into 156 2 times with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 8552.0
If we take 150 away from 156, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 7:
75 goes into 60 0 times with a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 8552.0
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 8:
600 divided by 75 is 8 with a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 8552.08
If we subtract 600 from 600, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
If we divide 0 by 75, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 8552.08
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 10:
75 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 8552.08
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 8552.08 and a remainder of 0.0.