678369 ÷ 75 
We want to figure out the number of times 678369 can be divided by 75.

On 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
Subtract 0 from 6 to get 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 75

Going ahead to step 2:
75 goes into 67 0 times with a remainder of 67.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 67, we get 67.
Include the next digit (8) from the dividend after 67, then repeat: 678 / 75

Moving on to step 3:
When dividing 678 by 75, we get 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Deduct 675 from 678 and we're left with 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 75

Let's proceed to step 4:
When dividing 33 by 75, we get 0 with a remainder of 33.
Put 0 as the next digit of the answer. 
Result so far: 90.0
Subtracting 0 from 33 leaves us with 33.
Fetch the next digit (6) from the dividend, attach it to 33 and continue: 336 / 75

On to step 5:
When dividing 336 by 75, we get 4 with a remainder of 36.
The next digit of our result is 4. 
Result so far: 904.0
If we take 300 away from 336, we end up with 36.
Append the next digit (9) from the dividend to 36 and continue with: 369 / 75

Let's proceed to step 6:
When dividing 369 by 75, we get 4 with a remainder of 69.
The number 4 becomes the next digit in our result. 
Result so far: 9044.0
Subtract 300 from 369 to get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Advancing to step 7:
When dividing 690 by 75, we get 9 with a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 9044.9
If we take 675 away from 690, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 8:
75 goes into 150 2 times with a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 9044.92
The remainder is 0 after subtracting 150 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
The number 75 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 9044.92
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.

Moving on to step 10:
If we divide 0 by 75, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 9044.92
If we subtract 0 from 0, 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.

Our division results in 9044.92 with a remaining 0.0.