We're dividing 642999 by 75 
Our goal is to divide 642999 by 75.

Let's proceed to step 1:
The number 75 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 75

Step 2:
If we divide 64 by 75, we get 0 and a remainder of 64.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 64 leaves us with 64.
Take the next digit (2) from the dividend and append it to 64, then repeat: 642 / 75

Advancing to step 3:
75 can be fit into 642 8 times, resulting in a remainder of 42.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Deduct 600 from 642 and we're left with 42.
Take the next digit (9) from the dividend and append it to 42, then repeat: 429 / 75

On to step 4:
75 can be fit into 429 5 times, resulting in a remainder of 54.
Write down 5 as next digit of the result. 
Result so far: 85.0
If we subtract 375 from 429, we get 54.
Include the next digit (9) from the dividend after 54, then repeat: 549 / 75

On to step 5:
75 can be fit into 549 7 times, resulting in a remainder of 24.
The next digit of our result is 7. 
Result so far: 857.0
Subtract 525 from 549 to get 24.
Grab the next digit (9) from the dividend, add it to 24, then carry on: 249 / 75

Moving on to step 6:
249 divided by 75 is 3 with a remainder of 24.
Use 3 as the next digit of our solution. 
Result so far: 8573.0
If we subtract 225 from 249, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 7:
75 goes into 240 3 times with a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 8573.3
If we subtract 225 from 240, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 8:
150 divided by 75 is 2 with a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 8573.32
Subtract 150 from 150 to 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:
The number 75 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 8573.32
Subtract 0 from 0 to 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.

On to step 10:
75 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 8573.32
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.

The quotient of the division is 8573.32, and the remainder is 0.0.