687141 ÷ 75 
We want to figure out the number of times 687141 can be divided by 75.

Step 1:
75 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 75

Step 2:
68 divided by 75 is 0 with a remainder of 68.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 68 to get 68.
Grab the next digit (7) from the dividend, add it to 68, then carry on: 687 / 75

Step 3:
If we divide 687 by 75, we get 9 and a remainder of 12.
Write down 9 as next digit of the result. 
Result so far: 9.0
If we take 675 away from 687, we end up with 12.
Fetch the next digit (1) from the dividend, attach it to 12 and continue: 121 / 75

Advancing to step 4:
121 divided by 75 is 1 with a remainder of 46.
Record the quotient 1 as the next digit in the result. 
Result so far: 91.0
If we take 75 away from 121, we end up with 46.
Bring next digit (4) of the dividend behind the 46 and repeat the process: 464 / 75

Advancing to step 5:
75 goes into 464 6 times with a remainder of 14.
The next digit of our result is 6. 
Result so far: 916.0
The remainder is 14 after subtracting 450 from 464.
Take the next digit (1) from the dividend and append it to 14, then repeat: 141 / 75

Moving on to step 6:
If we divide 141 by 75, we get 1 and a remainder of 66.
The next digit of our result is 1. 
Result so far: 9161.0
The remainder is 66 after subtracting 75 from 141.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 7:
The number 75 fits into 660 8 times, leaving a remainder of 60.
Record the quotient 8 as the next digit in the result. 
Result so far: 9161.8
If we subtract 600 from 660, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 8:
If we divide 600 by 75, we get 8 and a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 9161.88
If we take 600 away from 600, 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 final result is 9161.88 with a remainder of 0.0.